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Finding the Third Proportional to 75,810.75 and 116,034.75

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Solution

The third proportional to 75,810.75 and 116,034.75 is: 177,600.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,810.75 : 116,034.75 = 116,034.75 : x
  2. Step 2: Convert to fraction form
    75,810.75/116,034.75 = 116,034.75/x
  3. Step 3: Cross multiply
    75,810.75x = 116,034.75 × 116,034.75
  4. Step 4: Simplify right side
    75,810.75x = 13,464,063,207.56
  5. Step 5: Solve for x
    x = 13,464,063,207.56/75,810.75
  6. Step 6: Final answer
    x = 177,600.98

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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.