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Finding the Third Proportional to 63,981 and 100,139

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Solution

The third proportional to 63,981 and 100,139 is: 156,731.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,981 : 100,139 = 100,139 : x
  2. Step 2: Convert to fraction form
    63,981/100,139 = 100,139/x
  3. Step 3: Cross multiply
    63,981x = 100,139 × 100,139
  4. Step 4: Simplify right side
    63,981x = 10,027,819,321
  5. Step 5: Solve for x
    x = 10,027,819,321/63,981
  6. Step 6: Final answer
    x = 156,731.21

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.