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Finding the Third Proportional to 64,466 and 140,002

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Solution

The third proportional to 64,466 and 140,002 is: 304,044.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,466 : 140,002 = 140,002 : x
  2. Step 2: Convert to fraction form
    64,466/140,002 = 140,002/x
  3. Step 3: Cross multiply
    64,466x = 140,002 × 140,002
  4. Step 4: Simplify right side
    64,466x = 19,600,560,004
  5. Step 5: Solve for x
    x = 19,600,560,004/64,466
  6. Step 6: Final answer
    x = 304,044.92

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.