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Finding the Third Proportional to 65,262 and 140,892

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Solution

The third proportional to 65,262 and 140,892 is: 304,167.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,262 : 140,892 = 140,892 : x
  2. Step 2: Convert to fraction form
    65,262/140,892 = 140,892/x
  3. Step 3: Cross multiply
    65,262x = 140,892 × 140,892
  4. Step 4: Simplify right side
    65,262x = 19,850,555,664
  5. Step 5: Solve for x
    x = 19,850,555,664/65,262
  6. Step 6: Final answer
    x = 304,167.14

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.