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Finding the Third Proportional to 95,574.38 and 207,762.75

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Solution

The third proportional to 95,574.38 and 207,762.75 is: 451,641.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,574.38 : 207,762.75 = 207,762.75 : x
  2. Step 2: Convert to fraction form
    95,574.38/207,762.75 = 207,762.75/x
  3. Step 3: Cross multiply
    95,574.38x = 207,762.75 × 207,762.75
  4. Step 4: Simplify right side
    95,574.38x = 43,165,360,287.56
  5. Step 5: Solve for x
    x = 43,165,360,287.56/95,574.38
  6. Step 6: Final answer
    x = 451,641.56

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.