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Finding the Third Proportional to 75,896 and 166,312

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Solution

The third proportional to 75,896 and 166,312 is: 364,441.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,896 : 166,312 = 166,312 : x
  2. Step 2: Convert to fraction form
    75,896/166,312 = 166,312/x
  3. Step 3: Cross multiply
    75,896x = 166,312 × 166,312
  4. Step 4: Simplify right side
    75,896x = 27,659,681,344
  5. Step 5: Solve for x
    x = 27,659,681,344/75,896
  6. Step 6: Final answer
    x = 364,441.89

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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.