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Finding the Third Proportional to 71,455.50 and 155,221.50

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Solution

The third proportional to 71,455.50 and 155,221.50 is: 337,184.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,455.50 : 155,221.50 = 155,221.50 : x
  2. Step 2: Convert to fraction form
    71,455.50/155,221.50 = 155,221.50/x
  3. Step 3: Cross multiply
    71,455.50x = 155,221.50 × 155,221.50
  4. Step 4: Simplify right side
    71,455.50x = 24,093,714,062.25
  5. Step 5: Solve for x
    x = 24,093,714,062.25/71,455.50
  6. Step 6: Final answer
    x = 337,184.88

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.