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Finding the Third Proportional to 38,020 and 88,108

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Solution

The third proportional to 38,020 and 88,108 is: 204,182.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,020 : 88,108 = 88,108 : x
  2. Step 2: Convert to fraction form
    38,020/88,108 = 88,108/x
  3. Step 3: Cross multiply
    38,020x = 88,108 × 88,108
  4. Step 4: Simplify right side
    38,020x = 7,763,019,664
  5. Step 5: Solve for x
    x = 7,763,019,664/38,020
  6. Step 6: Final answer
    x = 204,182.53

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.