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Finding the Third Proportional to 95,582 and 207,931

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Solution

The third proportional to 95,582 and 207,931 is: 452,337.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,582 : 207,931 = 207,931 : x
  2. Step 2: Convert to fraction form
    95,582/207,931 = 207,931/x
  3. Step 3: Cross multiply
    95,582x = 207,931 × 207,931
  4. Step 4: Simplify right side
    95,582x = 43,235,300,761
  5. Step 5: Solve for x
    x = 43,235,300,761/95,582
  6. Step 6: Final answer
    x = 452,337.27

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.