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Finding the Third Proportional to 91,667 and 145,862

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Solution

The third proportional to 91,667 and 145,862 is: 232,097.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,667 : 145,862 = 145,862 : x
  2. Step 2: Convert to fraction form
    91,667/145,862 = 145,862/x
  3. Step 3: Cross multiply
    91,667x = 145,862 × 145,862
  4. Step 4: Simplify right side
    91,667x = 21,275,723,044
  5. Step 5: Solve for x
    x = 21,275,723,044/91,667
  6. Step 6: Final answer
    x = 232,097.95

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These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.