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Finding the Third Proportional to 69,705 and 148,401

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Solution

The third proportional to 69,705 and 148,401 is: 315,943.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,705 : 148,401 = 148,401 : x
  2. Step 2: Convert to fraction form
    69,705/148,401 = 148,401/x
  3. Step 3: Cross multiply
    69,705x = 148,401 × 148,401
  4. Step 4: Simplify right side
    69,705x = 22,022,856,801
  5. Step 5: Solve for x
    x = 22,022,856,801/69,705
  6. Step 6: Final answer
    x = 315,943.72

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.