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Finding the Third Proportional to 75,651 and 113,802.75

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Solution

The third proportional to 75,651 and 113,802.75 is: 171,194.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,651 : 113,802.75 = 113,802.75 : x
  2. Step 2: Convert to fraction form
    75,651/113,802.75 = 113,802.75/x
  3. Step 3: Cross multiply
    75,651x = 113,802.75 × 113,802.75
  4. Step 4: Simplify right side
    75,651x = 12,951,065,907.56
  5. Step 5: Solve for x
    x = 12,951,065,907.56/75,651
  6. Step 6: Final answer
    x = 171,194.91

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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.