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Finding the Third Proportional to 84,249 and 181,617

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Solution

The third proportional to 84,249 and 181,617 is: 391,514.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,249 : 181,617 = 181,617 : x
  2. Step 2: Convert to fraction form
    84,249/181,617 = 181,617/x
  3. Step 3: Cross multiply
    84,249x = 181,617 × 181,617
  4. Step 4: Simplify right side
    84,249x = 32,984,734,689
  5. Step 5: Solve for x
    x = 32,984,734,689/84,249
  6. Step 6: Final answer
    x = 391,514.85

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