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Finding the Third Proportional to 67,536 and 107,792

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Solution

The third proportional to 67,536 and 107,792 is: 172,043.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,536 : 107,792 = 107,792 : x
  2. Step 2: Convert to fraction form
    67,536/107,792 = 107,792/x
  3. Step 3: Cross multiply
    67,536x = 107,792 × 107,792
  4. Step 4: Simplify right side
    67,536x = 11,619,115,264
  5. Step 5: Solve for x
    x = 11,619,115,264/67,536
  6. Step 6: Final answer
    x = 172,043.28

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.