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Finding the Third Proportional to 48,942 and 73,521

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Solution

The third proportional to 48,942 and 73,521 is: 110,443.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,942 : 73,521 = 73,521 : x
  2. Step 2: Convert to fraction form
    48,942/73,521 = 73,521/x
  3. Step 3: Cross multiply
    48,942x = 73,521 × 73,521
  4. Step 4: Simplify right side
    48,942x = 5,405,337,441
  5. Step 5: Solve for x
    x = 5,405,337,441/48,942
  6. Step 6: Final answer
    x = 110,443.74

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Why These Related Problems?

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