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Finding the Third Proportional to 76,723.50 and 165,921

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Solution

The third proportional to 76,723.50 and 165,921 is: 358,818.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,723.50 : 165,921 = 165,921 : x
  2. Step 2: Convert to fraction form
    76,723.50/165,921 = 165,921/x
  3. Step 3: Cross multiply
    76,723.50x = 165,921 × 165,921
  4. Step 4: Simplify right side
    76,723.50x = 27,529,778,241
  5. Step 5: Solve for x
    x = 27,529,778,241/76,723.50
  6. Step 6: Final answer
    x = 358,818.07

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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.