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Finding the Third Proportional to 83,127 and 176,612

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Solution

The third proportional to 83,127 and 176,612 is: 375,230.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,127 : 176,612 = 176,612 : x
  2. Step 2: Convert to fraction form
    83,127/176,612 = 176,612/x
  3. Step 3: Cross multiply
    83,127x = 176,612 × 176,612
  4. Step 4: Simplify right side
    83,127x = 31,191,798,544
  5. Step 5: Solve for x
    x = 31,191,798,544/83,127
  6. Step 6: Final answer
    x = 375,230.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.