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Finding the Third Proportional to 65,961 and 144,416

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Solution

The third proportional to 65,961 and 144,416 is: 316,186.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,961 : 144,416 = 144,416 : x
  2. Step 2: Convert to fraction form
    65,961/144,416 = 144,416/x
  3. Step 3: Cross multiply
    65,961x = 144,416 × 144,416
  4. Step 4: Simplify right side
    65,961x = 20,855,981,056
  5. Step 5: Solve for x
    x = 20,855,981,056/65,961
  6. Step 6: Final answer
    x = 316,186.55

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.