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Finding the Third Proportional to 110,584 and 166,791

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Solution

The third proportional to 110,584 and 166,791 is: 251,566.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,584 : 166,791 = 166,791 : x
  2. Step 2: Convert to fraction form
    110,584/166,791 = 166,791/x
  3. Step 3: Cross multiply
    110,584x = 166,791 × 166,791
  4. Step 4: Simplify right side
    110,584x = 27,819,237,681
  5. Step 5: Solve for x
    x = 27,819,237,681/110,584
  6. Step 6: Final answer
    x = 251,566.57

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.