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Finding the Third Proportional to 75,306 and 165,980

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Solution

The third proportional to 75,306 and 165,980 is: 365,832.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,306 : 165,980 = 165,980 : x
  2. Step 2: Convert to fraction form
    75,306/165,980 = 165,980/x
  3. Step 3: Cross multiply
    75,306x = 165,980 × 165,980
  4. Step 4: Simplify right side
    75,306x = 27,549,360,400
  5. Step 5: Solve for x
    x = 27,549,360,400/75,306
  6. Step 6: Final answer
    x = 365,832.21

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.