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Finding the Third Proportional to 92,612 and 138,306

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Solution

The third proportional to 92,612 and 138,306 is: 206,545.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    92,612 : 138,306 = 138,306 : x
  2. Step 2: Convert to fraction form
    92,612/138,306 = 138,306/x
  3. Step 3: Cross multiply
    92,612x = 138,306 × 138,306
  4. Step 4: Simplify right side
    92,612x = 19,128,549,636
  5. Step 5: Solve for x
    x = 19,128,549,636/92,612
  6. Step 6: Final answer
    x = 206,545.04

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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.