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Finding the Third Proportional to 71,288 and 156,112

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Solution

The third proportional to 71,288 and 156,112 is: 341,866.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,288 : 156,112 = 156,112 : x
  2. Step 2: Convert to fraction form
    71,288/156,112 = 156,112/x
  3. Step 3: Cross multiply
    71,288x = 156,112 × 156,112
  4. Step 4: Simplify right side
    71,288x = 24,370,956,544
  5. Step 5: Solve for x
    x = 24,370,956,544/71,288
  6. Step 6: Final answer
    x = 341,866.18

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.