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Finding the Third Proportional to 71,354.67 and 156,833.72

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Solution

The third proportional to 71,354.67 and 156,833.72 is: 344,712.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,354.67 : 156,833.72 = 156,833.72 : x
  2. Step 2: Convert to fraction form
    71,354.67/156,833.72 = 156,833.72/x
  3. Step 3: Cross multiply
    71,354.67x = 156,833.72 × 156,833.72
  4. Step 4: Simplify right side
    71,354.67x = 24,596,815,336.95
  5. Step 5: Solve for x
    x = 24,596,815,336.95/71,354.67
  6. Step 6: Final answer
    x = 344,712.05

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.