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Finding the Third Proportional to 65,646 and 133,697

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Solution

The third proportional to 65,646 and 133,697 is: 272,292.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,646 : 133,697 = 133,697 : x
  2. Step 2: Convert to fraction form
    65,646/133,697 = 133,697/x
  3. Step 3: Cross multiply
    65,646x = 133,697 × 133,697
  4. Step 4: Simplify right side
    65,646x = 17,874,887,809
  5. Step 5: Solve for x
    x = 17,874,887,809/65,646
  6. Step 6: Final answer
    x = 272,292.11

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.