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Finding the Third Proportional to 92,344 and 138,516

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Solution

The third proportional to 92,344 and 138,516 is: 207,774

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,344 : 138,516 = 138,516 : x
  2. Step 2: Convert to fraction form
    92,344/138,516 = 138,516/x
  3. Step 3: Cross multiply
    92,344x = 138,516 × 138,516
  4. Step 4: Simplify right side
    92,344x = 19,186,682,256
  5. Step 5: Solve for x
    x = 19,186,682,256/92,344
  6. Step 6: Final answer
    x = 207,774

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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.