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Finding the Third Proportional to 90,730.13 and 132,814.69

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Solution

The third proportional to 90,730.13 and 132,814.69 is: 194,419.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    90,730.13 : 132,814.69 = 132,814.69 : x
  2. Step 2: Convert to fraction form
    90,730.13/132,814.69 = 132,814.69/x
  3. Step 3: Cross multiply
    90,730.13x = 132,814.69 × 132,814.69
  4. Step 4: Simplify right side
    90,730.13x = 17,639,741,215.72
  5. Step 5: Solve for x
    x = 17,639,741,215.72/90,730.13
  6. Step 6: Final answer
    x = 194,419.89

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.