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Finding the Third Proportional to 48,716 and 75,126

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Solution

The third proportional to 48,716 and 75,126 is: 115,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,716 : 75,126 = 75,126 : x
  2. Step 2: Convert to fraction form
    48,716/75,126 = 75,126/x
  3. Step 3: Cross multiply
    48,716x = 75,126 × 75,126
  4. Step 4: Simplify right side
    48,716x = 5,643,915,876
  5. Step 5: Solve for x
    x = 5,643,915,876/48,716
  6. Step 6: Final answer
    x = 115,853.43

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.