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Finding the Third Proportional to 92,498 and 138,760

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Solution

The third proportional to 92,498 and 138,760 is: 208,159.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,498 : 138,760 = 138,760 : x
  2. Step 2: Convert to fraction form
    92,498/138,760 = 138,760/x
  3. Step 3: Cross multiply
    92,498x = 138,760 × 138,760
  4. Step 4: Simplify right side
    92,498x = 19,254,337,600
  5. Step 5: Solve for x
    x = 19,254,337,600/92,498
  6. Step 6: Final answer
    x = 208,159.50

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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.