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Finding the Third Proportional to 91,734 and 138,525

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Solution

The third proportional to 91,734 and 138,525 is: 209,182.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,734 : 138,525 = 138,525 : x
  2. Step 2: Convert to fraction form
    91,734/138,525 = 138,525/x
  3. Step 3: Cross multiply
    91,734x = 138,525 × 138,525
  4. Step 4: Simplify right side
    91,734x = 19,189,175,625
  5. Step 5: Solve for x
    x = 19,189,175,625/91,734
  6. Step 6: Final answer
    x = 209,182.81

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.