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Finding the Third Proportional to 31,113.50 and 68,274.50

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Solution

The third proportional to 31,113.50 and 68,274.50 is: 149,819.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,113.50 : 68,274.50 = 68,274.50 : x
  2. Step 2: Convert to fraction form
    31,113.50/68,274.50 = 68,274.50/x
  3. Step 3: Cross multiply
    31,113.50x = 68,274.50 × 68,274.50
  4. Step 4: Simplify right side
    31,113.50x = 4,661,407,350.25
  5. Step 5: Solve for x
    x = 4,661,407,350.25/31,113.50
  6. Step 6: Final answer
    x = 149,819.45

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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.