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Finding the Third Proportional to 65,506 and 133,760

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Solution

The third proportional to 65,506 and 133,760 is: 273,131.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,506 : 133,760 = 133,760 : x
  2. Step 2: Convert to fraction form
    65,506/133,760 = 133,760/x
  3. Step 3: Cross multiply
    65,506x = 133,760 × 133,760
  4. Step 4: Simplify right side
    65,506x = 17,891,737,600
  5. Step 5: Solve for x
    x = 17,891,737,600/65,506
  6. Step 6: Final answer
    x = 273,131.28

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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.