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Finding the Third Proportional to 91,867 and 165,602

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Solution

The third proportional to 91,867 and 165,602 is: 298,518.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,867 : 165,602 = 165,602 : x
  2. Step 2: Convert to fraction form
    91,867/165,602 = 165,602/x
  3. Step 3: Cross multiply
    91,867x = 165,602 × 165,602
  4. Step 4: Simplify right side
    91,867x = 27,424,022,404
  5. Step 5: Solve for x
    x = 27,424,022,404/91,867
  6. Step 6: Final answer
    x = 298,518.75

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Why These Related Problems?

These problems maintain the same ratio (1.80) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.