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Finding the Third Proportional to 107,048 and 164,598

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Solution

The third proportional to 107,048 and 164,598 is: 253,087.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,048 : 164,598 = 164,598 : x
  2. Step 2: Convert to fraction form
    107,048/164,598 = 164,598/x
  3. Step 3: Cross multiply
    107,048x = 164,598 × 164,598
  4. Step 4: Simplify right side
    107,048x = 27,092,501,604
  5. Step 5: Solve for x
    x = 27,092,501,604/107,048
  6. Step 6: Final answer
    x = 253,087.42

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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.