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Finding the Third Proportional to 75,967 and 166,513

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Solution

The third proportional to 75,967 and 166,513 is: 364,981.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,967 : 166,513 = 166,513 : x
  2. Step 2: Convert to fraction form
    75,967/166,513 = 166,513/x
  3. Step 3: Cross multiply
    75,967x = 166,513 × 166,513
  4. Step 4: Simplify right side
    75,967x = 27,726,579,169
  5. Step 5: Solve for x
    x = 27,726,579,169/75,967
  6. Step 6: Final answer
    x = 364,981.89

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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.