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Finding the Third Proportional to 75,469 and 111,464

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Solution

The third proportional to 75,469 and 111,464 is: 164,626.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,469 : 111,464 = 111,464 : x
  2. Step 2: Convert to fraction form
    75,469/111,464 = 111,464/x
  3. Step 3: Cross multiply
    75,469x = 111,464 × 111,464
  4. Step 4: Simplify right side
    75,469x = 12,424,223,296
  5. Step 5: Solve for x
    x = 12,424,223,296/75,469
  6. Step 6: Final answer
    x = 164,626.84

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.