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Finding the Third Proportional to 91,864 and 165,596

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Solution

The third proportional to 91,864 and 165,596 is: 298,506.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,864 : 165,596 = 165,596 : x
  2. Step 2: Convert to fraction form
    91,864/165,596 = 165,596/x
  3. Step 3: Cross multiply
    91,864x = 165,596 × 165,596
  4. Step 4: Simplify right side
    91,864x = 27,422,035,216
  5. Step 5: Solve for x
    x = 27,422,035,216/91,864
  6. Step 6: Final answer
    x = 298,506.87

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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.