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Finding the Third Proportional to 129,460 and 195,378

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Solution

The third proportional to 129,460 and 195,378 is: 294,859.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,460 : 195,378 = 195,378 : x
  2. Step 2: Convert to fraction form
    129,460/195,378 = 195,378/x
  3. Step 3: Cross multiply
    129,460x = 195,378 × 195,378
  4. Step 4: Simplify right side
    129,460x = 38,172,562,884
  5. Step 5: Solve for x
    x = 38,172,562,884/129,460
  6. Step 6: Final answer
    x = 294,859.90

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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.