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Finding the Third Proportional to 31,156 and 70,114

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Solution

The third proportional to 31,156 and 70,114 is: 157,785.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,156 : 70,114 = 70,114 : x
  2. Step 2: Convert to fraction form
    31,156/70,114 = 70,114/x
  3. Step 3: Cross multiply
    31,156x = 70,114 × 70,114
  4. Step 4: Simplify right side
    31,156x = 4,915,972,996
  5. Step 5: Solve for x
    x = 4,915,972,996/31,156
  6. Step 6: Final answer
    x = 157,785.76

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.