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Finding the Third Proportional to 82,953 and 124,429.50

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Solution

The third proportional to 82,953 and 124,429.50 is: 186,644.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,953 : 124,429.50 = 124,429.50 : x
  2. Step 2: Convert to fraction form
    82,953/124,429.50 = 124,429.50/x
  3. Step 3: Cross multiply
    82,953x = 124,429.50 × 124,429.50
  4. Step 4: Simplify right side
    82,953x = 15,482,700,470.25
  5. Step 5: Solve for x
    x = 15,482,700,470.25/82,953
  6. Step 6: Final answer
    x = 186,644.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.