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Finding the Third Proportional to 48,358 and 75,939

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Solution

The third proportional to 48,358 and 75,939 is: 119,250.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,358 : 75,939 = 75,939 : x
  2. Step 2: Convert to fraction form
    48,358/75,939 = 75,939/x
  3. Step 3: Cross multiply
    48,358x = 75,939 × 75,939
  4. Step 4: Simplify right side
    48,358x = 5,766,731,721
  5. Step 5: Solve for x
    x = 5,766,731,721/48,358
  6. Step 6: Final answer
    x = 119,250.83

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