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Finding the Third Proportional to 72,886 and 156,948

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Solution

The third proportional to 72,886 and 156,948 is: 337,961.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,886 : 156,948 = 156,948 : x
  2. Step 2: Convert to fraction form
    72,886/156,948 = 156,948/x
  3. Step 3: Cross multiply
    72,886x = 156,948 × 156,948
  4. Step 4: Simplify right side
    72,886x = 24,632,674,704
  5. Step 5: Solve for x
    x = 24,632,674,704/72,886
  6. Step 6: Final answer
    x = 337,961.68

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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.