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Finding the Third Proportional to 71,753.44 and 156,622.13

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Solution

The third proportional to 71,753.44 and 156,622.13 is: 341,871.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,753.44 : 156,622.13 = 156,622.13 : x
  2. Step 2: Convert to fraction form
    71,753.44/156,622.13 = 156,622.13/x
  3. Step 3: Cross multiply
    71,753.44x = 156,622.13 × 156,622.13
  4. Step 4: Simplify right side
    71,753.44x = 24,530,490,039.52
  5. Step 5: Solve for x
    x = 24,530,490,039.52/71,753.44
  6. Step 6: Final answer
    x = 341,871.98

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.