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Finding the Third Proportional to 70,432.88 and 166,098.75

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Solution

The third proportional to 70,432.88 and 166,098.75 is: 391,703.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,432.88 : 166,098.75 = 166,098.75 : x
  2. Step 2: Convert to fraction form
    70,432.88/166,098.75 = 166,098.75/x
  3. Step 3: Cross multiply
    70,432.88x = 166,098.75 × 166,098.75
  4. Step 4: Simplify right side
    70,432.88x = 27,588,794,751.56
  5. Step 5: Solve for x
    x = 27,588,794,751.56/70,432.88
  6. Step 6: Final answer
    x = 391,703.37

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.