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Finding the Third Proportional to 84,719 and 186,727

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Solution

The third proportional to 84,719 and 186,727 is: 411,560.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,719 : 186,727 = 186,727 : x
  2. Step 2: Convert to fraction form
    84,719/186,727 = 186,727/x
  3. Step 3: Cross multiply
    84,719x = 186,727 × 186,727
  4. Step 4: Simplify right side
    84,719x = 34,866,972,529
  5. Step 5: Solve for x
    x = 34,866,972,529/84,719
  6. Step 6: Final answer
    x = 411,560.25

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.