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Finding the Third Proportional to 65,044 and 141,874

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Solution

The third proportional to 65,044 and 141,874 is: 309,455.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,044 : 141,874 = 141,874 : x
  2. Step 2: Convert to fraction form
    65,044/141,874 = 141,874/x
  3. Step 3: Cross multiply
    65,044x = 141,874 × 141,874
  4. Step 4: Simplify right side
    65,044x = 20,128,231,876
  5. Step 5: Solve for x
    x = 20,128,231,876/65,044
  6. Step 6: Final answer
    x = 309,455.63

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.