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Finding the Third Proportional to 114,664.78 and 168,626.81

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Solution

The third proportional to 114,664.78 and 168,626.81 is: 247,983.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,664.78 : 168,626.81 = 168,626.81 : x
  2. Step 2: Convert to fraction form
    114,664.78/168,626.81 = 168,626.81/x
  3. Step 3: Cross multiply
    114,664.78x = 168,626.81 × 168,626.81
  4. Step 4: Simplify right side
    114,664.78x = 28,435,001,893.91
  5. Step 5: Solve for x
    x = 28,435,001,893.91/114,664.78
  6. Step 6: Final answer
    x = 247,983.75

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.