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Finding the Third Proportional to 75,822 and 116,051

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Solution

The third proportional to 75,822 and 116,051 is: 177,624.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,822 : 116,051 = 116,051 : x
  2. Step 2: Convert to fraction form
    75,822/116,051 = 116,051/x
  3. Step 3: Cross multiply
    75,822x = 116,051 × 116,051
  4. Step 4: Simplify right side
    75,822x = 13,467,834,601
  5. Step 5: Solve for x
    x = 13,467,834,601/75,822
  6. Step 6: Final answer
    x = 177,624.36

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.