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Finding the Third Proportional to 65,601 and 140,534

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Solution

The third proportional to 65,601 and 140,534 is: 301,059.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,601 : 140,534 = 140,534 : x
  2. Step 2: Convert to fraction form
    65,601/140,534 = 140,534/x
  3. Step 3: Cross multiply
    65,601x = 140,534 × 140,534
  4. Step 4: Simplify right side
    65,601x = 19,749,805,156
  5. Step 5: Solve for x
    x = 19,749,805,156/65,601
  6. Step 6: Final answer
    x = 301,059.51

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.