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Finding the Third Proportional to 72,623 and 156,716

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Solution

The third proportional to 72,623 and 156,716 is: 338,183.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,623 : 156,716 = 156,716 : x
  2. Step 2: Convert to fraction form
    72,623/156,716 = 156,716/x
  3. Step 3: Cross multiply
    72,623x = 156,716 × 156,716
  4. Step 4: Simplify right side
    72,623x = 24,559,904,656
  5. Step 5: Solve for x
    x = 24,559,904,656/72,623
  6. Step 6: Final answer
    x = 338,183.56

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.