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Finding the Third Proportional to 71,088 and 155,568

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Solution

The third proportional to 71,088 and 155,568 is: 340,442.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,088 : 155,568 = 155,568 : x
  2. Step 2: Convert to fraction form
    71,088/155,568 = 155,568/x
  3. Step 3: Cross multiply
    71,088x = 155,568 × 155,568
  4. Step 4: Simplify right side
    71,088x = 24,201,402,624
  5. Step 5: Solve for x
    x = 24,201,402,624/71,088
  6. Step 6: Final answer
    x = 340,442.87

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.