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Finding the Third Proportional to 67,736.25 and 144,812.81

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Solution

The third proportional to 67,736.25 and 144,812.81 is: 309,594.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,736.25 : 144,812.81 = 144,812.81 : x
  2. Step 2: Convert to fraction form
    67,736.25/144,812.81 = 144,812.81/x
  3. Step 3: Cross multiply
    67,736.25x = 144,812.81 × 144,812.81
  4. Step 4: Simplify right side
    67,736.25x = 20,970,750,664.16
  5. Step 5: Solve for x
    x = 20,970,750,664.16/67,736.25
  6. Step 6: Final answer
    x = 309,594.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.