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Finding the Third Proportional to 91,167 and 137,967

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Solution

The third proportional to 91,167 and 137,967 is: 208,791.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,167 : 137,967 = 137,967 : x
  2. Step 2: Convert to fraction form
    91,167/137,967 = 137,967/x
  3. Step 3: Cross multiply
    91,167x = 137,967 × 137,967
  4. Step 4: Simplify right side
    91,167x = 19,034,893,089
  5. Step 5: Solve for x
    x = 19,034,893,089/91,167
  6. Step 6: Final answer
    x = 208,791.48

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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.