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Finding the Third Proportional to 76,996.13 and 115,180.88

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Solution

The third proportional to 76,996.13 and 115,180.88 is: 172,302.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,996.13 : 115,180.88 = 115,180.88 : x
  2. Step 2: Convert to fraction form
    76,996.13/115,180.88 = 115,180.88/x
  3. Step 3: Cross multiply
    76,996.13x = 115,180.88 × 115,180.88
  4. Step 4: Simplify right side
    76,996.13x = 13,266,633,965.77
  5. Step 5: Solve for x
    x = 13,266,633,965.77/76,996.13
  6. Step 6: Final answer
    x = 172,302.62

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.