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Finding the Third Proportional to 48,000 and 75,126

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Solution

The third proportional to 48,000 and 75,126 is: 117,581.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,000 : 75,126 = 75,126 : x
  2. Step 2: Convert to fraction form
    48,000/75,126 = 75,126/x
  3. Step 3: Cross multiply
    48,000x = 75,126 × 75,126
  4. Step 4: Simplify right side
    48,000x = 5,643,915,876
  5. Step 5: Solve for x
    x = 5,643,915,876/48,000
  6. Step 6: Final answer
    x = 117,581.58

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.