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Finding the Third Proportional to 41,720 and 86,890

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Solution

The third proportional to 41,720 and 86,890 is: 180,965.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,720 : 86,890 = 86,890 : x
  2. Step 2: Convert to fraction form
    41,720/86,890 = 86,890/x
  3. Step 3: Cross multiply
    41,720x = 86,890 × 86,890
  4. Step 4: Simplify right side
    41,720x = 7,549,872,100
  5. Step 5: Solve for x
    x = 7,549,872,100/41,720
  6. Step 6: Final answer
    x = 180,965.29

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.