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Finding the Third Proportional to 76,416 and 165,969

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Solution

The third proportional to 76,416 and 165,969 is: 360,470.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,416 : 165,969 = 165,969 : x
  2. Step 2: Convert to fraction form
    76,416/165,969 = 165,969/x
  3. Step 3: Cross multiply
    76,416x = 165,969 × 165,969
  4. Step 4: Simplify right side
    76,416x = 27,545,708,961
  5. Step 5: Solve for x
    x = 27,545,708,961/76,416
  6. Step 6: Final answer
    x = 360,470.44

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.