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Finding the Third Proportional to 126,801 and 190,701

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Solution

The third proportional to 126,801 and 190,701 is: 286,802.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,801 : 190,701 = 190,701 : x
  2. Step 2: Convert to fraction form
    126,801/190,701 = 190,701/x
  3. Step 3: Cross multiply
    126,801x = 190,701 × 190,701
  4. Step 4: Simplify right side
    126,801x = 36,366,871,401
  5. Step 5: Solve for x
    x = 36,366,871,401/126,801
  6. Step 6: Final answer
    x = 286,802.72

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.