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Finding the Third Proportional to 72,987 and 109,806

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Solution

The third proportional to 72,987 and 109,806 is: 165,198.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,987 : 109,806 = 109,806 : x
  2. Step 2: Convert to fraction form
    72,987/109,806 = 109,806/x
  3. Step 3: Cross multiply
    72,987x = 109,806 × 109,806
  4. Step 4: Simplify right side
    72,987x = 12,057,357,636
  5. Step 5: Solve for x
    x = 12,057,357,636/72,987
  6. Step 6: Final answer
    x = 165,198.70

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.