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Finding the Third Proportional to 48,120 and 75,504

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Solution

The third proportional to 48,120 and 75,504 is: 118,471.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,120 : 75,504 = 75,504 : x
  2. Step 2: Convert to fraction form
    48,120/75,504 = 75,504/x
  3. Step 3: Cross multiply
    48,120x = 75,504 × 75,504
  4. Step 4: Simplify right side
    48,120x = 5,700,854,016
  5. Step 5: Solve for x
    x = 5,700,854,016/48,120
  6. Step 6: Final answer
    x = 118,471.61

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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.