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Finding the Third Proportional to 82,262.25 and 124,000.50

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Solution

The third proportional to 82,262.25 and 124,000.50 is: 186,915.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,262.25 : 124,000.50 = 124,000.50 : x
  2. Step 2: Convert to fraction form
    82,262.25/124,000.50 = 124,000.50/x
  3. Step 3: Cross multiply
    82,262.25x = 124,000.50 × 124,000.50
  4. Step 4: Simplify right side
    82,262.25x = 15,376,124,000.25
  5. Step 5: Solve for x
    x = 15,376,124,000.25/82,262.25
  6. Step 6: Final answer
    x = 186,915.92

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.