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Finding the Third Proportional to 107,942 and 163,416

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Solution

The third proportional to 107,942 and 163,416 is: 247,399.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,942 : 163,416 = 163,416 : x
  2. Step 2: Convert to fraction form
    107,942/163,416 = 163,416/x
  3. Step 3: Cross multiply
    107,942x = 163,416 × 163,416
  4. Step 4: Simplify right side
    107,942x = 26,704,789,056
  5. Step 5: Solve for x
    x = 26,704,789,056/107,942
  6. Step 6: Final answer
    x = 247,399.43

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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.