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Finding the Third Proportional to 77,332 and 164,792

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Solution

The third proportional to 77,332 and 164,792 is: 351,166.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    77,332 : 164,792 = 164,792 : x
  2. Step 2: Convert to fraction form
    77,332/164,792 = 164,792/x
  3. Step 3: Cross multiply
    77,332x = 164,792 × 164,792
  4. Step 4: Simplify right side
    77,332x = 27,156,403,264
  5. Step 5: Solve for x
    x = 27,156,403,264/77,332
  6. Step 6: Final answer
    x = 351,166.44

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.