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Finding the Third Proportional to 135,709 and 187,524

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Solution

The third proportional to 135,709 and 187,524 is: 259,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,709 : 187,524 = 187,524 : x
  2. Step 2: Convert to fraction form
    135,709/187,524 = 187,524/x
  3. Step 3: Cross multiply
    135,709x = 187,524 × 187,524
  4. Step 4: Simplify right side
    135,709x = 35,165,250,576
  5. Step 5: Solve for x
    x = 35,165,250,576/135,709
  6. Step 6: Final answer
    x = 259,122.46

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.