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Finding the Third Proportional to 95,257.50 and 209,952

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Solution

The third proportional to 95,257.50 and 209,952 is: 462,744.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,257.50 : 209,952 = 209,952 : x
  2. Step 2: Convert to fraction form
    95,257.50/209,952 = 209,952/x
  3. Step 3: Cross multiply
    95,257.50x = 209,952 × 209,952
  4. Step 4: Simplify right side
    95,257.50x = 44,079,842,304
  5. Step 5: Solve for x
    x = 44,079,842,304/95,257.50
  6. Step 6: Final answer
    x = 462,744.06

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.