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Finding the Third Proportional to 65,447 and 135,751

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Solution

The third proportional to 65,447 and 135,751 is: 281,576.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,447 : 135,751 = 135,751 : x
  2. Step 2: Convert to fraction form
    65,447/135,751 = 135,751/x
  3. Step 3: Cross multiply
    65,447x = 135,751 × 135,751
  4. Step 4: Simplify right side
    65,447x = 18,428,334,001
  5. Step 5: Solve for x
    x = 18,428,334,001/65,447
  6. Step 6: Final answer
    x = 281,576.45

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.