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Finding the Third Proportional to 84,171 and 181,461

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Solution

The third proportional to 84,171 and 181,461 is: 391,204.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,171 : 181,461 = 181,461 : x
  2. Step 2: Convert to fraction form
    84,171/181,461 = 181,461/x
  3. Step 3: Cross multiply
    84,171x = 181,461 × 181,461
  4. Step 4: Simplify right side
    84,171x = 32,928,094,521
  5. Step 5: Solve for x
    x = 32,928,094,521/84,171
  6. Step 6: Final answer
    x = 391,204.74

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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.