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Finding the Third Proportional to 81,658.13 and 128,319.75

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Solution

The third proportional to 81,658.13 and 128,319.75 is: 201,645.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,658.13 : 128,319.75 = 128,319.75 : x
  2. Step 2: Convert to fraction form
    81,658.13/128,319.75 = 128,319.75/x
  3. Step 3: Cross multiply
    81,658.13x = 128,319.75 × 128,319.75
  4. Step 4: Simplify right side
    81,658.13x = 16,465,958,240.06
  5. Step 5: Solve for x
    x = 16,465,958,240.06/81,658.13
  6. Step 6: Final answer
    x = 201,645.07

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.