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Finding the Third Proportional to 84,724 and 182,569

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Solution

The third proportional to 84,724 and 182,569 is: 393,412.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,724 : 182,569 = 182,569 : x
  2. Step 2: Convert to fraction form
    84,724/182,569 = 182,569/x
  3. Step 3: Cross multiply
    84,724x = 182,569 × 182,569
  4. Step 4: Simplify right side
    84,724x = 33,331,439,761
  5. Step 5: Solve for x
    x = 33,331,439,761/84,724
  6. Step 6: Final answer
    x = 393,412.02

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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.