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Finding the Third Proportional to 65,497 and 141,012

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Solution

The third proportional to 65,497 and 141,012 is: 303,592.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,497 : 141,012 = 141,012 : x
  2. Step 2: Convert to fraction form
    65,497/141,012 = 141,012/x
  3. Step 3: Cross multiply
    65,497x = 141,012 × 141,012
  4. Step 4: Simplify right side
    65,497x = 19,884,384,144
  5. Step 5: Solve for x
    x = 19,884,384,144/65,497
  6. Step 6: Final answer
    x = 303,592.29

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.