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Finding the Third Proportional to 83,990 and 181,534

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Solution

The third proportional to 83,990 and 181,534 is: 392,363.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,990 : 181,534 = 181,534 : x
  2. Step 2: Convert to fraction form
    83,990/181,534 = 181,534/x
  3. Step 3: Cross multiply
    83,990x = 181,534 × 181,534
  4. Step 4: Simplify right side
    83,990x = 32,954,593,156
  5. Step 5: Solve for x
    x = 32,954,593,156/83,990
  6. Step 6: Final answer
    x = 392,363.30

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.