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Finding the Third Proportional to 65,676 and 136,023

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Solution

The third proportional to 65,676 and 136,023 is: 281,720.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,676 : 136,023 = 136,023 : x
  2. Step 2: Convert to fraction form
    65,676/136,023 = 136,023/x
  3. Step 3: Cross multiply
    65,676x = 136,023 × 136,023
  4. Step 4: Simplify right side
    65,676x = 18,502,256,529
  5. Step 5: Solve for x
    x = 18,502,256,529/65,676
  6. Step 6: Final answer
    x = 281,720.21

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.