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Finding the Third Proportional to 95,859 and 145,780.17

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Solution

The third proportional to 95,859 and 145,780.17 is: 221,699.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,859 : 145,780.17 = 145,780.17 : x
  2. Step 2: Convert to fraction form
    95,859/145,780.17 = 145,780.17/x
  3. Step 3: Cross multiply
    95,859x = 145,780.17 × 145,780.17
  4. Step 4: Simplify right side
    95,859x = 21,251,858,511.90
  5. Step 5: Solve for x
    x = 21,251,858,511.90/95,859
  6. Step 6: Final answer
    x = 221,699.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.