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Finding the Third Proportional to 64,761 and 137,244

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Solution

The third proportional to 64,761 and 137,244 is: 290,852.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,761 : 137,244 = 137,244 : x
  2. Step 2: Convert to fraction form
    64,761/137,244 = 137,244/x
  3. Step 3: Cross multiply
    64,761x = 137,244 × 137,244
  4. Step 4: Simplify right side
    64,761x = 18,835,915,536
  5. Step 5: Solve for x
    x = 18,835,915,536/64,761
  6. Step 6: Final answer
    x = 290,852.76

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.