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Finding the Third Proportional to 91,054.13 and 137,188.69

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Solution

The third proportional to 91,054.13 and 137,188.69 is: 206,698.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,054.13 : 137,188.69 = 137,188.69 : x
  2. Step 2: Convert to fraction form
    91,054.13/137,188.69 = 137,188.69/x
  3. Step 3: Cross multiply
    91,054.13x = 137,188.69 × 137,188.69
  4. Step 4: Simplify right side
    91,054.13x = 18,820,735,977.97
  5. Step 5: Solve for x
    x = 18,820,735,977.97/91,054.13
  6. Step 6: Final answer
    x = 206,698.33

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.