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Finding the Third Proportional to 75,251 and 156,729

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Solution

The third proportional to 75,251 and 156,729 is: 326,427.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,251 : 156,729 = 156,729 : x
  2. Step 2: Convert to fraction form
    75,251/156,729 = 156,729/x
  3. Step 3: Cross multiply
    75,251x = 156,729 × 156,729
  4. Step 4: Simplify right side
    75,251x = 24,563,979,441
  5. Step 5: Solve for x
    x = 24,563,979,441/75,251
  6. Step 6: Final answer
    x = 326,427.28

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.