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Finding the Third Proportional to 72,334.69 and 156,697.88

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Solution

The third proportional to 72,334.69 and 156,697.88 is: 339,452.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,334.69 : 156,697.88 = 156,697.88 : x
  2. Step 2: Convert to fraction form
    72,334.69/156,697.88 = 156,697.88/x
  3. Step 3: Cross multiply
    72,334.69x = 156,697.88 × 156,697.88
  4. Step 4: Simplify right side
    72,334.69x = 24,554,224,029.52
  5. Step 5: Solve for x
    x = 24,554,224,029.52/72,334.69
  6. Step 6: Final answer
    x = 339,452.96

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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.