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Finding the Third Proportional to 71,190 and 155,772

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Solution

The third proportional to 71,190 and 155,772 is: 340,847.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,190 : 155,772 = 155,772 : x
  2. Step 2: Convert to fraction form
    71,190/155,772 = 155,772/x
  3. Step 3: Cross multiply
    71,190x = 155,772 × 155,772
  4. Step 4: Simplify right side
    71,190x = 24,264,915,984
  5. Step 5: Solve for x
    x = 24,264,915,984/71,190
  6. Step 6: Final answer
    x = 340,847.25

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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.