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Finding the Third Proportional to 49,523 and 74,520

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Solution

The third proportional to 49,523 and 74,520 is: 112,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,523 : 74,520 = 74,520 : x
  2. Step 2: Convert to fraction form
    49,523/74,520 = 74,520/x
  3. Step 3: Cross multiply
    49,523x = 74,520 × 74,520
  4. Step 4: Simplify right side
    49,523x = 5,553,230,400
  5. Step 5: Solve for x
    x = 5,553,230,400/49,523
  6. Step 6: Final answer
    x = 112,134.37

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.