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Finding the Third Proportional to 95,052.94 and 132,890.06

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Solution

The third proportional to 95,052.94 and 132,890.06 is: 185,788.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,052.94 : 132,890.06 = 132,890.06 : x
  2. Step 2: Convert to fraction form
    95,052.94/132,890.06 = 132,890.06/x
  3. Step 3: Cross multiply
    95,052.94x = 132,890.06 × 132,890.06
  4. Step 4: Simplify right side
    95,052.94x = 17,659,768,711.25
  5. Step 5: Solve for x
    x = 17,659,768,711.25/95,052.94
  6. Step 6: Final answer
    x = 185,788.77

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Why These Related Problems?

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