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Finding the Third Proportional to 54,578 and 97,924

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Solution

The third proportional to 54,578 and 97,924 is: 175,695.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,578 : 97,924 = 97,924 : x
  2. Step 2: Convert to fraction form
    54,578/97,924 = 97,924/x
  3. Step 3: Cross multiply
    54,578x = 97,924 × 97,924
  4. Step 4: Simplify right side
    54,578x = 9,589,109,776
  5. Step 5: Solve for x
    x = 9,589,109,776/54,578
  6. Step 6: Final answer
    x = 175,695.51

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Why These Related Problems?

These problems maintain the same ratio (1.79) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.