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Finding the Third Proportional to 138,758 and 153,338

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Solution

The third proportional to 138,758 and 153,338 is: 169,449.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    138,758 : 153,338 = 153,338 : x
  2. Step 2: Convert to fraction form
    138,758/153,338 = 153,338/x
  3. Step 3: Cross multiply
    138,758x = 153,338 × 153,338
  4. Step 4: Simplify right side
    138,758x = 23,512,542,244
  5. Step 5: Solve for x
    x = 23,512,542,244/138,758
  6. Step 6: Final answer
    x = 169,449.99

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Why These Related Problems?

These problems maintain the same ratio (1.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.