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Finding the Third Proportional to 62,366 and 95,855

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Solution

The third proportional to 62,366 and 95,855 is: 147,326.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,366 : 95,855 = 95,855 : x
  2. Step 2: Convert to fraction form
    62,366/95,855 = 95,855/x
  3. Step 3: Cross multiply
    62,366x = 95,855 × 95,855
  4. Step 4: Simplify right side
    62,366x = 9,188,181,025
  5. Step 5: Solve for x
    x = 9,188,181,025/62,366
  6. Step 6: Final answer
    x = 147,326.76

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.