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Finding the Third Proportional to 92,060 and 136,794

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Solution

The third proportional to 92,060 and 136,794 is: 203,265.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,060 : 136,794 = 136,794 : x
  2. Step 2: Convert to fraction form
    92,060/136,794 = 136,794/x
  3. Step 3: Cross multiply
    92,060x = 136,794 × 136,794
  4. Step 4: Simplify right side
    92,060x = 18,712,598,436
  5. Step 5: Solve for x
    x = 18,712,598,436/92,060
  6. Step 6: Final answer
    x = 203,265.24

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.