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Finding the Third Proportional to 63,768 and 93,708

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Solution

The third proportional to 63,768 and 93,708 is: 137,705.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,768 : 93,708 = 93,708 : x
  2. Step 2: Convert to fraction form
    63,768/93,708 = 93,708/x
  3. Step 3: Cross multiply
    63,768x = 93,708 × 93,708
  4. Step 4: Simplify right side
    63,768x = 8,781,189,264
  5. Step 5: Solve for x
    x = 8,781,189,264/63,768
  6. Step 6: Final answer
    x = 137,705.26

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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.