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Finding the Third Proportional to 65,598 and 135,864

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Solution

The third proportional to 65,598 and 135,864 is: 281,396.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,598 : 135,864 = 135,864 : x
  2. Step 2: Convert to fraction form
    65,598/135,864 = 135,864/x
  3. Step 3: Cross multiply
    65,598x = 135,864 × 135,864
  4. Step 4: Simplify right side
    65,598x = 18,459,026,496
  5. Step 5: Solve for x
    x = 18,459,026,496/65,598
  6. Step 6: Final answer
    x = 281,396.18

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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.