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Finding the Third Proportional to 48,530 and 77,172

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Solution

The third proportional to 48,530 and 77,172 is: 122,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,530 : 77,172 = 77,172 : x
  2. Step 2: Convert to fraction form
    48,530/77,172 = 77,172/x
  3. Step 3: Cross multiply
    48,530x = 77,172 × 77,172
  4. Step 4: Simplify right side
    48,530x = 5,955,517,584
  5. Step 5: Solve for x
    x = 5,955,517,584/48,530
  6. Step 6: Final answer
    x = 122,718.27

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.