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Finding the Third Proportional to 101,074 and 149,648

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Solution

The third proportional to 101,074 and 149,648 is: 221,565.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,074 : 149,648 = 149,648 : x
  2. Step 2: Convert to fraction form
    101,074/149,648 = 149,648/x
  3. Step 3: Cross multiply
    101,074x = 149,648 × 149,648
  4. Step 4: Simplify right side
    101,074x = 22,394,523,904
  5. Step 5: Solve for x
    x = 22,394,523,904/101,074
  6. Step 6: Final answer
    x = 221,565.62

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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.