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Finding the Third Proportional to 99,503 and 154,074

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Solution

The third proportional to 99,503 and 154,074 is: 238,573.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    99,503 : 154,074 = 154,074 : x
  2. Step 2: Convert to fraction form
    99,503/154,074 = 154,074/x
  3. Step 3: Cross multiply
    99,503x = 154,074 × 154,074
  4. Step 4: Simplify right side
    99,503x = 23,738,797,476
  5. Step 5: Solve for x
    x = 23,738,797,476/99,503
  6. Step 6: Final answer
    x = 238,573.69

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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.