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Finding the Third Proportional to 75,984 and 166,584

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Solution

The third proportional to 75,984 and 166,584 is: 365,211.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,984 : 166,584 = 166,584 : x
  2. Step 2: Convert to fraction form
    75,984/166,584 = 166,584/x
  3. Step 3: Cross multiply
    75,984x = 166,584 × 166,584
  4. Step 4: Simplify right side
    75,984x = 27,750,229,056
  5. Step 5: Solve for x
    x = 27,750,229,056/75,984
  6. Step 6: Final answer
    x = 365,211.48

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.