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Finding the Third Proportional to 83,142 and 176,670

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Solution

The third proportional to 83,142 and 176,670 is: 375,409.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,142 : 176,670 = 176,670 : x
  2. Step 2: Convert to fraction form
    83,142/176,670 = 176,670/x
  3. Step 3: Cross multiply
    83,142x = 176,670 × 176,670
  4. Step 4: Simplify right side
    83,142x = 31,212,288,900
  5. Step 5: Solve for x
    x = 31,212,288,900/83,142
  6. Step 6: Final answer
    x = 375,409.41

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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.