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Finding the Third Proportional to 65,095.13 and 135,373.13

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Solution

The third proportional to 65,095.13 and 135,373.13 is: 281,524.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    65,095.13 : 135,373.13 = 135,373.13 : x
  2. Step 2: Convert to fraction form
    65,095.13/135,373.13 = 135,373.13/x
  3. Step 3: Cross multiply
    65,095.13x = 135,373.13 × 135,373.13
  4. Step 4: Simplify right side
    65,095.13x = 18,325,882,972.27
  5. Step 5: Solve for x
    x = 18,325,882,972.27/65,095.13
  6. Step 6: Final answer
    x = 281,524.66

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.