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Finding the Third Proportional to 107,048 and 164,604

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Solution

The third proportional to 107,048 and 164,604 is: 253,105.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,048 : 164,604 = 164,604 : x
  2. Step 2: Convert to fraction form
    107,048/164,604 = 164,604/x
  3. Step 3: Cross multiply
    107,048x = 164,604 × 164,604
  4. Step 4: Simplify right side
    107,048x = 27,094,476,816
  5. Step 5: Solve for x
    x = 27,094,476,816/107,048
  6. Step 6: Final answer
    x = 253,105.87

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.