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Finding the Third Proportional to 131,590.13 and 187,543.13

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Solution

The third proportional to 131,590.13 and 187,543.13 is: 267,287.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,590.13 : 187,543.13 = 187,543.13 : x
  2. Step 2: Convert to fraction form
    131,590.13/187,543.13 = 187,543.13/x
  3. Step 3: Cross multiply
    131,590.13x = 187,543.13 × 187,543.13
  4. Step 4: Simplify right side
    131,590.13x = 35,172,423,734.77
  5. Step 5: Solve for x
    x = 35,172,423,734.77/131,590.13
  6. Step 6: Final answer
    x = 267,287.71

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Why These Related Problems?

These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.