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Finding the Third Proportional to 76,743 and 165,582

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Solution

The third proportional to 76,743 and 165,582 is: 357,262.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,743 : 165,582 = 165,582 : x
  2. Step 2: Convert to fraction form
    76,743/165,582 = 165,582/x
  3. Step 3: Cross multiply
    76,743x = 165,582 × 165,582
  4. Step 4: Simplify right side
    76,743x = 27,417,398,724
  5. Step 5: Solve for x
    x = 27,417,398,724/76,743
  6. Step 6: Final answer
    x = 357,262.54

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.