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Finding the Third Proportional to 65,340 and 140,535

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Solution

The third proportional to 65,340 and 140,535 is: 302,266.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,340 : 140,535 = 140,535 : x
  2. Step 2: Convert to fraction form
    65,340/140,535 = 140,535/x
  3. Step 3: Cross multiply
    65,340x = 140,535 × 140,535
  4. Step 4: Simplify right side
    65,340x = 19,750,086,225
  5. Step 5: Solve for x
    x = 19,750,086,225/65,340
  6. Step 6: Final answer
    x = 302,266.39

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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.