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Finding the Third Proportional to 71,753.34 and 156,419.86

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Solution

The third proportional to 71,753.34 and 156,419.86 is: 340,990.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,753.34 : 156,419.86 = 156,419.86 : x
  2. Step 2: Convert to fraction form
    71,753.34/156,419.86 = 156,419.86/x
  3. Step 3: Cross multiply
    71,753.34x = 156,419.86 × 156,419.86
  4. Step 4: Simplify right side
    71,753.34x = 24,467,172,406.89
  5. Step 5: Solve for x
    x = 24,467,172,406.89/71,753.34
  6. Step 6: Final answer
    x = 340,990.00

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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.