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Finding the Third Proportional to 76,519.88 and 165,335.25

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Solution

The third proportional to 76,519.88 and 165,335.25 is: 357,237.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,519.88 : 165,335.25 = 165,335.25 : x
  2. Step 2: Convert to fraction form
    76,519.88/165,335.25 = 165,335.25/x
  3. Step 3: Cross multiply
    76,519.88x = 165,335.25 × 165,335.25
  4. Step 4: Simplify right side
    76,519.88x = 27,335,744,892.56
  5. Step 5: Solve for x
    x = 27,335,744,892.56/76,519.88
  6. Step 6: Final answer
    x = 357,237.19

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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.