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Finding the Third Proportional to 84,792 and 124,588

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Solution

The third proportional to 84,792 and 124,588 is: 183,061.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,792 : 124,588 = 124,588 : x
  2. Step 2: Convert to fraction form
    84,792/124,588 = 124,588/x
  3. Step 3: Cross multiply
    84,792x = 124,588 × 124,588
  4. Step 4: Simplify right side
    84,792x = 15,522,169,744
  5. Step 5: Solve for x
    x = 15,522,169,744/84,792
  6. Step 6: Final answer
    x = 183,061.72

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.