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Finding the Third Proportional to 75,984 and 166,656

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Solution

The third proportional to 75,984 and 166,656 is: 365,527.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,984 : 166,656 = 166,656 : x
  2. Step 2: Convert to fraction form
    75,984/166,656 = 166,656/x
  3. Step 3: Cross multiply
    75,984x = 166,656 × 166,656
  4. Step 4: Simplify right side
    75,984x = 27,774,222,336
  5. Step 5: Solve for x
    x = 27,774,222,336/75,984
  6. Step 6: Final answer
    x = 365,527.25

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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.