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Finding the Third Proportional to 101,112 and 152,922

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Solution

The third proportional to 101,112 and 152,922 is: 231,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,112 : 152,922 = 152,922 : x
  2. Step 2: Convert to fraction form
    101,112/152,922 = 152,922/x
  3. Step 3: Cross multiply
    101,112x = 152,922 × 152,922
  4. Step 4: Simplify right side
    101,112x = 23,385,138,084
  5. Step 5: Solve for x
    x = 23,385,138,084/101,112
  6. Step 6: Final answer
    x = 231,279.55

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.