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Finding the Third Proportional to 42,080 and 90,721

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Solution

The third proportional to 42,080 and 90,721 is: 195,586.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,080 : 90,721 = 90,721 : x
  2. Step 2: Convert to fraction form
    42,080/90,721 = 90,721/x
  3. Step 3: Cross multiply
    42,080x = 90,721 × 90,721
  4. Step 4: Simplify right side
    42,080x = 8,230,299,841
  5. Step 5: Solve for x
    x = 8,230,299,841/42,080
  6. Step 6: Final answer
    x = 195,586.97

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.