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Finding the Third Proportional to 100,132 and 154,991

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Solution

The third proportional to 100,132 and 154,991 is: 239,905.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,132 : 154,991 = 154,991 : x
  2. Step 2: Convert to fraction form
    100,132/154,991 = 154,991/x
  3. Step 3: Cross multiply
    100,132x = 154,991 × 154,991
  4. Step 4: Simplify right side
    100,132x = 24,022,210,081
  5. Step 5: Solve for x
    x = 24,022,210,081/100,132
  6. Step 6: Final answer
    x = 239,905.43

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.