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Finding the Third Proportional to 63,597 and 100,681

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Solution

The third proportional to 63,597 and 100,681 is: 159,389.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,597 : 100,681 = 100,681 : x
  2. Step 2: Convert to fraction form
    63,597/100,681 = 100,681/x
  3. Step 3: Cross multiply
    63,597x = 100,681 × 100,681
  4. Step 4: Simplify right side
    63,597x = 10,136,663,761
  5. Step 5: Solve for x
    x = 10,136,663,761/63,597
  6. Step 6: Final answer
    x = 159,389.02

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.