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Finding the Third Proportional to 101,538 and 154,251

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Solution

The third proportional to 101,538 and 154,251 is: 234,329.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,538 : 154,251 = 154,251 : x
  2. Step 2: Convert to fraction form
    101,538/154,251 = 154,251/x
  3. Step 3: Cross multiply
    101,538x = 154,251 × 154,251
  4. Step 4: Simplify right side
    101,538x = 23,793,371,001
  5. Step 5: Solve for x
    x = 23,793,371,001/101,538
  6. Step 6: Final answer
    x = 234,329.72

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.