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Finding the Third Proportional to 92,498 and 138,370

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Solution

The third proportional to 92,498 and 138,370 is: 206,991.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,498 : 138,370 = 138,370 : x
  2. Step 2: Convert to fraction form
    92,498/138,370 = 138,370/x
  3. Step 3: Cross multiply
    92,498x = 138,370 × 138,370
  4. Step 4: Simplify right side
    92,498x = 19,146,256,900
  5. Step 5: Solve for x
    x = 19,146,256,900/92,498
  6. Step 6: Final answer
    x = 206,991.04

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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.