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Finding the Third Proportional to 82,927.50 and 124,261

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Solution

The third proportional to 82,927.50 and 124,261 is: 186,196.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,927.50 : 124,261 = 124,261 : x
  2. Step 2: Convert to fraction form
    82,927.50/124,261 = 124,261/x
  3. Step 3: Cross multiply
    82,927.50x = 124,261 × 124,261
  4. Step 4: Simplify right side
    82,927.50x = 15,440,796,121
  5. Step 5: Solve for x
    x = 15,440,796,121/82,927.50
  6. Step 6: Final answer
    x = 186,196.33

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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.