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Finding the Third Proportional to 65,714 and 148,976

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Solution

The third proportional to 65,714 and 148,976 is: 337,733.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,714 : 148,976 = 148,976 : x
  2. Step 2: Convert to fraction form
    65,714/148,976 = 148,976/x
  3. Step 3: Cross multiply
    65,714x = 148,976 × 148,976
  4. Step 4: Simplify right side
    65,714x = 22,193,848,576
  5. Step 5: Solve for x
    x = 22,193,848,576/65,714
  6. Step 6: Final answer
    x = 337,733.95

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Why These Related Problems?

These problems maintain the same ratio (2.27) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.