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Finding the Third Proportional to 92,424 and 138,020

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Solution

The third proportional to 92,424 and 138,020 is: 206,110.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,424 : 138,020 = 138,020 : x
  2. Step 2: Convert to fraction form
    92,424/138,020 = 138,020/x
  3. Step 3: Cross multiply
    92,424x = 138,020 × 138,020
  4. Step 4: Simplify right side
    92,424x = 19,049,520,400
  5. Step 5: Solve for x
    x = 19,049,520,400/92,424
  6. Step 6: Final answer
    x = 206,110.11

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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.