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Finding the Third Proportional to 75,679.50 and 162,225.38

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Solution

The third proportional to 75,679.50 and 162,225.38 is: 347,743.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,679.50 : 162,225.38 = 162,225.38 : x
  2. Step 2: Convert to fraction form
    75,679.50/162,225.38 = 162,225.38/x
  3. Step 3: Cross multiply
    75,679.50x = 162,225.38 × 162,225.38
  4. Step 4: Simplify right side
    75,679.50x = 26,317,072,293.89
  5. Step 5: Solve for x
    x = 26,317,072,293.89/75,679.50
  6. Step 6: Final answer
    x = 347,743.74

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.