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Finding the Third Proportional to 63,748 and 134,792

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Solution

The third proportional to 63,748 and 134,792 is: 285,011.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,748 : 134,792 = 134,792 : x
  2. Step 2: Convert to fraction form
    63,748/134,792 = 134,792/x
  3. Step 3: Cross multiply
    63,748x = 134,792 × 134,792
  4. Step 4: Simplify right side
    63,748x = 18,168,883,264
  5. Step 5: Solve for x
    x = 18,168,883,264/63,748
  6. Step 6: Final answer
    x = 285,011.03

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.