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Finding the Third Proportional to 67,812.75 and 141,822

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Solution

The third proportional to 67,812.75 and 141,822 is: 296,603.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,812.75 : 141,822 = 141,822 : x
  2. Step 2: Convert to fraction form
    67,812.75/141,822 = 141,822/x
  3. Step 3: Cross multiply
    67,812.75x = 141,822 × 141,822
  4. Step 4: Simplify right side
    67,812.75x = 20,113,479,684
  5. Step 5: Solve for x
    x = 20,113,479,684/67,812.75
  6. Step 6: Final answer
    x = 296,603.22

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.