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Finding the Third Proportional to 134,229 and 187,759

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Solution

The third proportional to 134,229 and 187,759 is: 262,636.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    134,229 : 187,759 = 187,759 : x
  2. Step 2: Convert to fraction form
    134,229/187,759 = 187,759/x
  3. Step 3: Cross multiply
    134,229x = 187,759 × 187,759
  4. Step 4: Simplify right side
    134,229x = 35,253,442,081
  5. Step 5: Solve for x
    x = 35,253,442,081/134,229
  6. Step 6: Final answer
    x = 262,636.55

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.