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Finding the Third Proportional to 124,858 and 192,118

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Solution

The third proportional to 124,858 and 192,118 is: 295,610.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,858 : 192,118 = 192,118 : x
  2. Step 2: Convert to fraction form
    124,858/192,118 = 192,118/x
  3. Step 3: Cross multiply
    124,858x = 192,118 × 192,118
  4. Step 4: Simplify right side
    124,858x = 36,909,325,924
  5. Step 5: Solve for x
    x = 36,909,325,924/124,858
  6. Step 6: Final answer
    x = 295,610.42

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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.