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Finding the Third Proportional to 75,973 and 166,260

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Solution

The third proportional to 75,973 and 166,260 is: 363,844.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,973 : 166,260 = 166,260 : x
  2. Step 2: Convert to fraction form
    75,973/166,260 = 166,260/x
  3. Step 3: Cross multiply
    75,973x = 166,260 × 166,260
  4. Step 4: Simplify right side
    75,973x = 27,642,387,600
  5. Step 5: Solve for x
    x = 27,642,387,600/75,973
  6. Step 6: Final answer
    x = 363,844.89

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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.