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Finding the Third Proportional to 65,350 and 141,762

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Solution

The third proportional to 65,350 and 141,762 is: 307,520.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,350 : 141,762 = 141,762 : x
  2. Step 2: Convert to fraction form
    65,350/141,762 = 141,762/x
  3. Step 3: Cross multiply
    65,350x = 141,762 × 141,762
  4. Step 4: Simplify right side
    65,350x = 20,096,464,644
  5. Step 5: Solve for x
    x = 20,096,464,644/65,350
  6. Step 6: Final answer
    x = 307,520.50

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.