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Finding the Third Proportional to 48,016 and 74,265

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Solution

The third proportional to 48,016 and 74,265 is: 114,863.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,016 : 74,265 = 74,265 : x
  2. Step 2: Convert to fraction form
    48,016/74,265 = 74,265/x
  3. Step 3: Cross multiply
    48,016x = 74,265 × 74,265
  4. Step 4: Simplify right side
    48,016x = 5,515,290,225
  5. Step 5: Solve for x
    x = 5,515,290,225/48,016
  6. Step 6: Final answer
    x = 114,863.59

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.