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Finding the Third Proportional to 92,221 and 138,331

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Solution

The third proportional to 92,221 and 138,331 is: 207,495.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,221 : 138,331 = 138,331 : x
  2. Step 2: Convert to fraction form
    92,221/138,331 = 138,331/x
  3. Step 3: Cross multiply
    92,221x = 138,331 × 138,331
  4. Step 4: Simplify right side
    92,221x = 19,135,465,561
  5. Step 5: Solve for x
    x = 19,135,465,561/92,221
  6. Step 6: Final answer
    x = 207,495.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.