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Finding the Third Proportional to 31,134 and 68,313

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Solution

The third proportional to 31,134 and 68,313 is: 149,889.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,134 : 68,313 = 68,313 : x
  2. Step 2: Convert to fraction form
    31,134/68,313 = 68,313/x
  3. Step 3: Cross multiply
    31,134x = 68,313 × 68,313
  4. Step 4: Simplify right side
    31,134x = 4,666,665,969
  5. Step 5: Solve for x
    x = 4,666,665,969/31,134
  6. Step 6: Final answer
    x = 149,889.70

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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.