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Finding the Third Proportional to 75,916 and 111,412

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Solution

The third proportional to 75,916 and 111,412 is: 163,504.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,916 : 111,412 = 111,412 : x
  2. Step 2: Convert to fraction form
    75,916/111,412 = 111,412/x
  3. Step 3: Cross multiply
    75,916x = 111,412 × 111,412
  4. Step 4: Simplify right side
    75,916x = 12,412,633,744
  5. Step 5: Solve for x
    x = 12,412,633,744/75,916
  6. Step 6: Final answer
    x = 163,504.84

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.