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Finding the Third Proportional to 64,348 and 142,466

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Solution

The third proportional to 64,348 and 142,466 is: 315,418.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,348 : 142,466 = 142,466 : x
  2. Step 2: Convert to fraction form
    64,348/142,466 = 142,466/x
  3. Step 3: Cross multiply
    64,348x = 142,466 × 142,466
  4. Step 4: Simplify right side
    64,348x = 20,296,561,156
  5. Step 5: Solve for x
    x = 20,296,561,156/64,348
  6. Step 6: Final answer
    x = 315,418.68

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.