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Finding the Third Proportional to 84,792 and 131,748

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Solution

The third proportional to 84,792 and 131,748 is: 204,707.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,792 : 131,748 = 131,748 : x
  2. Step 2: Convert to fraction form
    84,792/131,748 = 131,748/x
  3. Step 3: Cross multiply
    84,792x = 131,748 × 131,748
  4. Step 4: Simplify right side
    84,792x = 17,357,535,504
  5. Step 5: Solve for x
    x = 17,357,535,504/84,792
  6. Step 6: Final answer
    x = 204,707.23

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.