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Finding the Third Proportional to 95,034.94 and 132,864.56

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Solution

The third proportional to 95,034.94 and 132,864.56 is: 185,752.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,034.94 : 132,864.56 = 132,864.56 : x
  2. Step 2: Convert to fraction form
    95,034.94/132,864.56 = 132,864.56/x
  3. Step 3: Cross multiply
    95,034.94x = 132,864.56 × 132,864.56
  4. Step 4: Simplify right side
    95,034.94x = 17,652,991,968.32
  5. Step 5: Solve for x
    x = 17,652,991,968.32/95,034.94
  6. Step 6: Final answer
    x = 185,752.66

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.