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Finding the Third Proportional to 91,128.75 and 137,949

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Solution

The third proportional to 91,128.75 and 137,949 is: 208,824.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,128.75 : 137,949 = 137,949 : x
  2. Step 2: Convert to fraction form
    91,128.75/137,949 = 137,949/x
  3. Step 3: Cross multiply
    91,128.75x = 137,949 × 137,949
  4. Step 4: Simplify right side
    91,128.75x = 19,029,926,601
  5. Step 5: Solve for x
    x = 19,029,926,601/91,128.75
  6. Step 6: Final answer
    x = 208,824.62

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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.