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Finding the Third Proportional to 101,724 and 221,523

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Solution

The third proportional to 101,724 and 221,523 is: 482,407.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,724 : 221,523 = 221,523 : x
  2. Step 2: Convert to fraction form
    101,724/221,523 = 221,523/x
  3. Step 3: Cross multiply
    101,724x = 221,523 × 221,523
  4. Step 4: Simplify right side
    101,724x = 49,072,439,529
  5. Step 5: Solve for x
    x = 49,072,439,529/101,724
  6. Step 6: Final answer
    x = 482,407.69

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.