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Finding the Third Proportional to 71,089 and 155,570

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Solution

The third proportional to 71,089 and 155,570 is: 340,446.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,089 : 155,570 = 155,570 : x
  2. Step 2: Convert to fraction form
    71,089/155,570 = 155,570/x
  3. Step 3: Cross multiply
    71,089x = 155,570 × 155,570
  4. Step 4: Simplify right side
    71,089x = 24,202,024,900
  5. Step 5: Solve for x
    x = 24,202,024,900/71,089
  6. Step 6: Final answer
    x = 340,446.83

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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.