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Finding the Third Proportional to 83,670 and 127,466

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Solution

The third proportional to 83,670 and 127,466 is: 194,186.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,670 : 127,466 = 127,466 : x
  2. Step 2: Convert to fraction form
    83,670/127,466 = 127,466/x
  3. Step 3: Cross multiply
    83,670x = 127,466 × 127,466
  4. Step 4: Simplify right side
    83,670x = 16,247,581,156
  5. Step 5: Solve for x
    x = 16,247,581,156/83,670
  6. Step 6: Final answer
    x = 194,186.46

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.