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Finding the Third Proportional to 95,780 and 151,592

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Solution

The third proportional to 95,780 and 151,592 is: 239,926.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,780 : 151,592 = 151,592 : x
  2. Step 2: Convert to fraction form
    95,780/151,592 = 151,592/x
  3. Step 3: Cross multiply
    95,780x = 151,592 × 151,592
  4. Step 4: Simplify right side
    95,780x = 22,980,134,464
  5. Step 5: Solve for x
    x = 22,980,134,464/95,780
  6. Step 6: Final answer
    x = 239,926.23

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.