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Finding the Third Proportional to 104,016 and 159,914

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Solution

The third proportional to 104,016 and 159,914 is: 245,851.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,016 : 159,914 = 159,914 : x
  2. Step 2: Convert to fraction form
    104,016/159,914 = 159,914/x
  3. Step 3: Cross multiply
    104,016x = 159,914 × 159,914
  4. Step 4: Simplify right side
    104,016x = 25,572,487,396
  5. Step 5: Solve for x
    x = 25,572,487,396/104,016
  6. Step 6: Final answer
    x = 245,851.48

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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.