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Finding the Third Proportional to 76,510.69 and 179,965.13

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Solution

The third proportional to 76,510.69 and 179,965.13 is: 423,306.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,510.69 : 179,965.13 = 179,965.13 : x
  2. Step 2: Convert to fraction form
    76,510.69/179,965.13 = 179,965.13/x
  3. Step 3: Cross multiply
    76,510.69x = 179,965.13 × 179,965.13
  4. Step 4: Simplify right side
    76,510.69x = 32,387,446,216.27
  5. Step 5: Solve for x
    x = 32,387,446,216.27/76,510.69
  6. Step 6: Final answer
    x = 423,306.17

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Why These Related Problems?

These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.