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Finding the Third Proportional to 84,474 and 181,989

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Solution

The third proportional to 84,474 and 181,989 is: 392,073.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,474 : 181,989 = 181,989 : x
  2. Step 2: Convert to fraction form
    84,474/181,989 = 181,989/x
  3. Step 3: Cross multiply
    84,474x = 181,989 × 181,989
  4. Step 4: Simplify right side
    84,474x = 33,119,996,121
  5. Step 5: Solve for x
    x = 33,119,996,121/84,474
  6. Step 6: Final answer
    x = 392,073.25

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.