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Finding the Third Proportional to 129,416 and 195,036

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Solution

The third proportional to 129,416 and 195,036 is: 293,928.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,416 : 195,036 = 195,036 : x
  2. Step 2: Convert to fraction form
    129,416/195,036 = 195,036/x
  3. Step 3: Cross multiply
    129,416x = 195,036 × 195,036
  4. Step 4: Simplify right side
    129,416x = 38,039,041,296
  5. Step 5: Solve for x
    x = 38,039,041,296/129,416
  6. Step 6: Final answer
    x = 293,928.43

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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.