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Finding the Third Proportional to 76,302.88 and 165,741

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Solution

The third proportional to 76,302.88 and 165,741 is: 360,013.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,302.88 : 165,741 = 165,741 : x
  2. Step 2: Convert to fraction form
    76,302.88/165,741 = 165,741/x
  3. Step 3: Cross multiply
    76,302.88x = 165,741 × 165,741
  4. Step 4: Simplify right side
    76,302.88x = 27,470,079,081
  5. Step 5: Solve for x
    x = 27,470,079,081/76,302.88
  6. Step 6: Final answer
    x = 360,013.68

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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.