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Finding the Third Proportional to 75,782 and 113,205

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Solution

The third proportional to 75,782 and 113,205 is: 169,108.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,782 : 113,205 = 113,205 : x
  2. Step 2: Convert to fraction form
    75,782/113,205 = 113,205/x
  3. Step 3: Cross multiply
    75,782x = 113,205 × 113,205
  4. Step 4: Simplify right side
    75,782x = 12,815,372,025
  5. Step 5: Solve for x
    x = 12,815,372,025/75,782
  6. Step 6: Final answer
    x = 169,108.39

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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.