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Finding the Third Proportional to 126,299 and 195,078

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Solution

The third proportional to 126,299 and 195,078 is: 301,312.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,299 : 195,078 = 195,078 : x
  2. Step 2: Convert to fraction form
    126,299/195,078 = 195,078/x
  3. Step 3: Cross multiply
    126,299x = 195,078 × 195,078
  4. Step 4: Simplify right side
    126,299x = 38,055,426,084
  5. Step 5: Solve for x
    x = 38,055,426,084/126,299
  6. Step 6: Final answer
    x = 301,312.17

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.