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Finding the Third Proportional to 62,912 and 96,552

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Solution

The third proportional to 62,912 and 96,552 is: 148,179.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,912 : 96,552 = 96,552 : x
  2. Step 2: Convert to fraction form
    62,912/96,552 = 96,552/x
  3. Step 3: Cross multiply
    62,912x = 96,552 × 96,552
  4. Step 4: Simplify right side
    62,912x = 9,322,288,704
  5. Step 5: Solve for x
    x = 9,322,288,704/62,912
  6. Step 6: Final answer
    x = 148,179.82

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.