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Finding the Third Proportional to 100,348 and 154,932

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Solution

The third proportional to 100,348 and 154,932 is: 239,206.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,348 : 154,932 = 154,932 : x
  2. Step 2: Convert to fraction form
    100,348/154,932 = 154,932/x
  3. Step 3: Cross multiply
    100,348x = 154,932 × 154,932
  4. Step 4: Simplify right side
    100,348x = 24,003,924,624
  5. Step 5: Solve for x
    x = 24,003,924,624/100,348
  6. Step 6: Final answer
    x = 239,206.81

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.