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Finding the Third Proportional to 137,538 and 185,571

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Solution

The third proportional to 137,538 and 185,571 is: 250,378.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,538 : 185,571 = 185,571 : x
  2. Step 2: Convert to fraction form
    137,538/185,571 = 185,571/x
  3. Step 3: Cross multiply
    137,538x = 185,571 × 185,571
  4. Step 4: Simplify right side
    137,538x = 34,436,596,041
  5. Step 5: Solve for x
    x = 34,436,596,041/137,538
  6. Step 6: Final answer
    x = 250,378.78

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.