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Finding the Third Proportional to 42,993 and 96,561

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Solution

The third proportional to 42,993 and 96,561 is: 216,873.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,993 : 96,561 = 96,561 : x
  2. Step 2: Convert to fraction form
    42,993/96,561 = 96,561/x
  3. Step 3: Cross multiply
    42,993x = 96,561 × 96,561
  4. Step 4: Simplify right side
    42,993x = 9,324,026,721
  5. Step 5: Solve for x
    x = 9,324,026,721/42,993
  6. Step 6: Final answer
    x = 216,873.14

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Why These Related Problems?

These problems maintain the same ratio (2.25) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.