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Finding the Third Proportional to 75,953 and 166,209

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Solution

The third proportional to 75,953 and 166,209 is: 363,717.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,953 : 166,209 = 166,209 : x
  2. Step 2: Convert to fraction form
    75,953/166,209 = 166,209/x
  3. Step 3: Cross multiply
    75,953x = 166,209 × 166,209
  4. Step 4: Simplify right side
    75,953x = 27,625,431,681
  5. Step 5: Solve for x
    x = 27,625,431,681/75,953
  6. Step 6: Final answer
    x = 363,717.45

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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.