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Finding the Third Proportional to 31,253 and 69,418

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Solution

The third proportional to 31,253 and 69,418 is: 154,188.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,253 : 69,418 = 69,418 : x
  2. Step 2: Convert to fraction form
    31,253/69,418 = 69,418/x
  3. Step 3: Cross multiply
    31,253x = 69,418 × 69,418
  4. Step 4: Simplify right side
    31,253x = 4,818,858,724
  5. Step 5: Solve for x
    x = 4,818,858,724/31,253
  6. Step 6: Final answer
    x = 154,188.68

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.