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Finding the Third Proportional to 48,264 and 75,006

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Solution

The third proportional to 48,264 and 75,006 is: 116,565.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,264 : 75,006 = 75,006 : x
  2. Step 2: Convert to fraction form
    48,264/75,006 = 75,006/x
  3. Step 3: Cross multiply
    48,264x = 75,006 × 75,006
  4. Step 4: Simplify right side
    48,264x = 5,625,900,036
  5. Step 5: Solve for x
    x = 5,625,900,036/48,264
  6. Step 6: Final answer
    x = 116,565.14

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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.