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Finding the Third Proportional to 131,590 and 187,543

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Solution

The third proportional to 131,590 and 187,543 is: 267,287.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    131,590 : 187,543 = 187,543 : x
  2. Step 2: Convert to fraction form
    131,590/187,543 = 187,543/x
  3. Step 3: Cross multiply
    131,590x = 187,543 × 187,543
  4. Step 4: Simplify right side
    131,590x = 35,172,376,849
  5. Step 5: Solve for x
    x = 35,172,376,849/131,590
  6. Step 6: Final answer
    x = 267,287.61

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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.