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Finding the Third Proportional to 75,714.75 and 113,755.13

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Solution

The third proportional to 75,714.75 and 113,755.13 is: 170,907.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,714.75 : 113,755.13 = 113,755.13 : x
  2. Step 2: Convert to fraction form
    75,714.75/113,755.13 = 113,755.13/x
  3. Step 3: Cross multiply
    75,714.75x = 113,755.13 × 113,755.13
  4. Step 4: Simplify right side
    75,714.75x = 12,940,228,463.77
  5. Step 5: Solve for x
    x = 12,940,228,463.77/75,714.75
  6. Step 6: Final answer
    x = 170,907.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.