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Finding the Third Proportional to 92,376 and 138,357

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Solution

The third proportional to 92,376 and 138,357 is: 207,225.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,376 : 138,357 = 138,357 : x
  2. Step 2: Convert to fraction form
    92,376/138,357 = 138,357/x
  3. Step 3: Cross multiply
    92,376x = 138,357 × 138,357
  4. Step 4: Simplify right side
    92,376x = 19,142,659,449
  5. Step 5: Solve for x
    x = 19,142,659,449/92,376
  6. Step 6: Final answer
    x = 207,225.46

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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.