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Finding the Third Proportional to 92,080 and 138,463

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Solution

The third proportional to 92,080 and 138,463 is: 208,210.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,080 : 138,463 = 138,463 : x
  2. Step 2: Convert to fraction form
    92,080/138,463 = 138,463/x
  3. Step 3: Cross multiply
    92,080x = 138,463 × 138,463
  4. Step 4: Simplify right side
    92,080x = 19,172,002,369
  5. Step 5: Solve for x
    x = 19,172,002,369/92,080
  6. Step 6: Final answer
    x = 208,210.28

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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.