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Finding the Third Proportional to 95,077.13 and 142,318.13

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Solution

The third proportional to 95,077.13 and 142,318.13 is: 213,031.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,077.13 : 142,318.13 = 142,318.13 : x
  2. Step 2: Convert to fraction form
    95,077.13/142,318.13 = 142,318.13/x
  3. Step 3: Cross multiply
    95,077.13x = 142,318.13 × 142,318.13
  4. Step 4: Simplify right side
    95,077.13x = 20,254,448,703.52
  5. Step 5: Solve for x
    x = 20,254,448,703.52/95,077.13
  6. Step 6: Final answer
    x = 213,031.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.