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Finding the Third Proportional to 48,951 and 75,372.75

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Solution

The third proportional to 48,951 and 75,372.75 is: 116,055.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,951 : 75,372.75 = 75,372.75 : x
  2. Step 2: Convert to fraction form
    48,951/75,372.75 = 75,372.75/x
  3. Step 3: Cross multiply
    48,951x = 75,372.75 × 75,372.75
  4. Step 4: Simplify right side
    48,951x = 5,681,051,442.56
  5. Step 5: Solve for x
    x = 5,681,051,442.56/48,951
  6. Step 6: Final answer
    x = 116,055.88

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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.