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Finding the Third Proportional to 91,866 and 165,600

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Solution

The third proportional to 91,866 and 165,600 is: 298,514.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,866 : 165,600 = 165,600 : x
  2. Step 2: Convert to fraction form
    91,866/165,600 = 165,600/x
  3. Step 3: Cross multiply
    91,866x = 165,600 × 165,600
  4. Step 4: Simplify right side
    91,866x = 27,423,360,000
  5. Step 5: Solve for x
    x = 27,423,360,000/91,866
  6. Step 6: Final answer
    x = 298,514.79

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