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Finding the Third Proportional to 100,993 and 149,538

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Solution

The third proportional to 100,993 and 149,538 is: 221,417.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,993 : 149,538 = 149,538 : x
  2. Step 2: Convert to fraction form
    100,993/149,538 = 149,538/x
  3. Step 3: Cross multiply
    100,993x = 149,538 × 149,538
  4. Step 4: Simplify right side
    100,993x = 22,361,613,444
  5. Step 5: Solve for x
    x = 22,361,613,444/100,993
  6. Step 6: Final answer
    x = 221,417.46

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.