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Finding the Third Proportional to 72,898 and 156,868

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Solution

The third proportional to 72,898 and 156,868 is: 337,561.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,898 : 156,868 = 156,868 : x
  2. Step 2: Convert to fraction form
    72,898/156,868 = 156,868/x
  3. Step 3: Cross multiply
    72,898x = 156,868 × 156,868
  4. Step 4: Simplify right side
    72,898x = 24,607,569,424
  5. Step 5: Solve for x
    x = 24,607,569,424/72,898
  6. Step 6: Final answer
    x = 337,561.65

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.