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Finding the Third Proportional to 62,644 and 96,956

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Solution

The third proportional to 62,644 and 96,956 is: 150,061.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,644 : 96,956 = 96,956 : x
  2. Step 2: Convert to fraction form
    62,644/96,956 = 96,956/x
  3. Step 3: Cross multiply
    62,644x = 96,956 × 96,956
  4. Step 4: Simplify right side
    62,644x = 9,400,465,936
  5. Step 5: Solve for x
    x = 9,400,465,936/62,644
  6. Step 6: Final answer
    x = 150,061.71

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.