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Finding the Third Proportional to 48,527 and 102,885

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Solution

The third proportional to 48,527 and 102,885 is: 218,132.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,527 : 102,885 = 102,885 : x
  2. Step 2: Convert to fraction form
    48,527/102,885 = 102,885/x
  3. Step 3: Cross multiply
    48,527x = 102,885 × 102,885
  4. Step 4: Simplify right side
    48,527x = 10,585,323,225
  5. Step 5: Solve for x
    x = 10,585,323,225/48,527
  6. Step 6: Final answer
    x = 218,132.65

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.