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Finding the Third Proportional to 65,237 and 140,127

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Solution

The third proportional to 65,237 and 140,127 is: 300,988.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,237 : 140,127 = 140,127 : x
  2. Step 2: Convert to fraction form
    65,237/140,127 = 140,127/x
  3. Step 3: Cross multiply
    65,237x = 140,127 × 140,127
  4. Step 4: Simplify right side
    65,237x = 19,635,576,129
  5. Step 5: Solve for x
    x = 19,635,576,129/65,237
  6. Step 6: Final answer
    x = 300,988.34

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.