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Finding the Third Proportional to 63,918 and 100,062

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Solution

The third proportional to 63,918 and 100,062 is: 156,644.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    63,918 : 100,062 = 100,062 : x
  2. Step 2: Convert to fraction form
    63,918/100,062 = 100,062/x
  3. Step 3: Cross multiply
    63,918x = 100,062 × 100,062
  4. Step 4: Simplify right side
    63,918x = 10,012,403,844
  5. Step 5: Solve for x
    x = 10,012,403,844/63,918
  6. Step 6: Final answer
    x = 156,644.51

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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.