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Finding the Third Proportional to 71,568 and 111,240

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Solution

The third proportional to 71,568 and 111,240 is: 172,903.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,568 : 111,240 = 111,240 : x
  2. Step 2: Convert to fraction form
    71,568/111,240 = 111,240/x
  3. Step 3: Cross multiply
    71,568x = 111,240 × 111,240
  4. Step 4: Simplify right side
    71,568x = 12,374,337,600
  5. Step 5: Solve for x
    x = 12,374,337,600/71,568
  6. Step 6: Final answer
    x = 172,903.22

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.