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Finding the Third Proportional to 65,541 and 140,640

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Solution

The third proportional to 65,541 and 140,640 is: 301,789.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,541 : 140,640 = 140,640 : x
  2. Step 2: Convert to fraction form
    65,541/140,640 = 140,640/x
  3. Step 3: Cross multiply
    65,541x = 140,640 × 140,640
  4. Step 4: Simplify right side
    65,541x = 19,779,609,600
  5. Step 5: Solve for x
    x = 19,779,609,600/65,541
  6. Step 6: Final answer
    x = 301,789.87

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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.