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Finding the Third Proportional to 75,990 and 113,562

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Solution

The third proportional to 75,990 and 113,562 is: 169,710.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,990 : 113,562 = 113,562 : x
  2. Step 2: Convert to fraction form
    75,990/113,562 = 113,562/x
  3. Step 3: Cross multiply
    75,990x = 113,562 × 113,562
  4. Step 4: Simplify right side
    75,990x = 12,896,327,844
  5. Step 5: Solve for x
    x = 12,896,327,844/75,990
  6. Step 6: Final answer
    x = 169,710.85

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.