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Finding the Third Proportional to 71,255.81 and 100,220.06

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Solution

The third proportional to 71,255.81 and 100,220.06 is: 140,957.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,255.81 : 100,220.06 = 100,220.06 : x
  2. Step 2: Convert to fraction form
    71,255.81/100,220.06 = 100,220.06/x
  3. Step 3: Cross multiply
    71,255.81x = 100,220.06 × 100,220.06
  4. Step 4: Simplify right side
    71,255.81x = 10,044,060,927.50
  5. Step 5: Solve for x
    x = 10,044,060,927.50/71,255.81
  6. Step 6: Final answer
    x = 140,957.78

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.