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Finding the Third Proportional to 75,907.13 and 116,161.59

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Solution

The third proportional to 75,907.13 and 116,161.59 is: 177,763.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,907.13 : 116,161.59 = 116,161.59 : x
  2. Step 2: Convert to fraction form
    75,907.13/116,161.59 = 116,161.59/x
  3. Step 3: Cross multiply
    75,907.13x = 116,161.59 × 116,161.59
  4. Step 4: Simplify right side
    75,907.13x = 13,493,515,862.54
  5. Step 5: Solve for x
    x = 13,493,515,862.54/75,907.13
  6. Step 6: Final answer
    x = 177,763.50

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.