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Finding the Third Proportional to 65,916 and 140,573

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Solution

The third proportional to 65,916 and 140,573 is: 299,787.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,916 : 140,573 = 140,573 : x
  2. Step 2: Convert to fraction form
    65,916/140,573 = 140,573/x
  3. Step 3: Cross multiply
    65,916x = 140,573 × 140,573
  4. Step 4: Simplify right side
    65,916x = 19,760,768,329
  5. Step 5: Solve for x
    x = 19,760,768,329/65,916
  6. Step 6: Final answer
    x = 299,787.13

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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.