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Finding the Third Proportional to 129,468 and 195,392

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Solution

The third proportional to 129,468 and 195,392 is: 294,883.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,468 : 195,392 = 195,392 : x
  2. Step 2: Convert to fraction form
    129,468/195,392 = 195,392/x
  3. Step 3: Cross multiply
    129,468x = 195,392 × 195,392
  4. Step 4: Simplify right side
    129,468x = 38,178,033,664
  5. Step 5: Solve for x
    x = 38,178,033,664/129,468
  6. Step 6: Final answer
    x = 294,883.94

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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.