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Finding the Third Proportional to 107,954 and 163,438

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Solution

The third proportional to 107,954 and 163,438 is: 247,438.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,954 : 163,438 = 163,438 : x
  2. Step 2: Convert to fraction form
    107,954/163,438 = 163,438/x
  3. Step 3: Cross multiply
    107,954x = 163,438 × 163,438
  4. Step 4: Simplify right side
    107,954x = 26,711,979,844
  5. Step 5: Solve for x
    x = 26,711,979,844/107,954
  6. Step 6: Final answer
    x = 247,438.54

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.