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Finding the Third Proportional to 59,828 and 130,523

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Solution

The third proportional to 59,828 and 130,523 is: 284,753.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,828 : 130,523 = 130,523 : x
  2. Step 2: Convert to fraction form
    59,828/130,523 = 130,523/x
  3. Step 3: Cross multiply
    59,828x = 130,523 × 130,523
  4. Step 4: Simplify right side
    59,828x = 17,036,253,529
  5. Step 5: Solve for x
    x = 17,036,253,529/59,828
  6. Step 6: Final answer
    x = 284,753.85

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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.