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Finding the Third Proportional to 65,695 and 144,107

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Solution

The third proportional to 65,695 and 144,107 is: 316,109.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,695 : 144,107 = 144,107 : x
  2. Step 2: Convert to fraction form
    65,695/144,107 = 144,107/x
  3. Step 3: Cross multiply
    65,695x = 144,107 × 144,107
  4. Step 4: Simplify right side
    65,695x = 20,766,827,449
  5. Step 5: Solve for x
    x = 20,766,827,449/65,695
  6. Step 6: Final answer
    x = 316,109.71

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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.