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Finding the Third Proportional to 72,353.25 and 156,780.56

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Solution

The third proportional to 72,353.25 and 156,780.56 is: 339,724.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,353.25 : 156,780.56 = 156,780.56 : x
  2. Step 2: Convert to fraction form
    72,353.25/156,780.56 = 156,780.56/x
  3. Step 3: Cross multiply
    72,353.25x = 156,780.56 × 156,780.56
  4. Step 4: Simplify right side
    72,353.25x = 24,580,144,777.82
  5. Step 5: Solve for x
    x = 24,580,144,777.82/72,353.25
  6. Step 6: Final answer
    x = 339,724.13

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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.