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Finding the Third Proportional to 63,693 and 137,762

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Solution

The third proportional to 63,693 and 137,762 is: 297,966.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,693 : 137,762 = 137,762 : x
  2. Step 2: Convert to fraction form
    63,693/137,762 = 137,762/x
  3. Step 3: Cross multiply
    63,693x = 137,762 × 137,762
  4. Step 4: Simplify right side
    63,693x = 18,978,368,644
  5. Step 5: Solve for x
    x = 18,978,368,644/63,693
  6. Step 6: Final answer
    x = 297,966.32

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.