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Finding the Third Proportional to 95,598 and 207,780

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Solution

The third proportional to 95,598 and 207,780 is: 451,604.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,598 : 207,780 = 207,780 : x
  2. Step 2: Convert to fraction form
    95,598/207,780 = 207,780/x
  3. Step 3: Cross multiply
    95,598x = 207,780 × 207,780
  4. Step 4: Simplify right side
    95,598x = 43,172,528,400
  5. Step 5: Solve for x
    x = 43,172,528,400/95,598
  6. Step 6: Final answer
    x = 451,604.93

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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.