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Finding the Third Proportional to 63,952 and 100,102

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Solution

The third proportional to 63,952 and 100,102 is: 156,686.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,952 : 100,102 = 100,102 : x
  2. Step 2: Convert to fraction form
    63,952/100,102 = 100,102/x
  3. Step 3: Cross multiply
    63,952x = 100,102 × 100,102
  4. Step 4: Simplify right side
    63,952x = 10,020,410,404
  5. Step 5: Solve for x
    x = 10,020,410,404/63,952
  6. Step 6: Final answer
    x = 156,686.43

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Why These Related Problems?

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