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Finding the Third Proportional to 62,645 and 95,952

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Solution

The third proportional to 62,645 and 95,952 is: 146,967.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,645 : 95,952 = 95,952 : x
  2. Step 2: Convert to fraction form
    62,645/95,952 = 95,952/x
  3. Step 3: Cross multiply
    62,645x = 95,952 × 95,952
  4. Step 4: Simplify right side
    62,645x = 9,206,786,304
  5. Step 5: Solve for x
    x = 9,206,786,304/62,645
  6. Step 6: Final answer
    x = 146,967.62

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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.