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Finding the Third Proportional to 114,583.36 and 168,363.56

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Solution

The third proportional to 114,583.36 and 168,363.56 is: 247,385.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,583.36 : 168,363.56 = 168,363.56 : x
  2. Step 2: Convert to fraction form
    114,583.36/168,363.56 = 168,363.56/x
  3. Step 3: Cross multiply
    114,583.36x = 168,363.56 × 168,363.56
  4. Step 4: Simplify right side
    114,583.36x = 28,346,289,177.69
  5. Step 5: Solve for x
    x = 28,346,289,177.69/114,583.36
  6. Step 6: Final answer
    x = 247,385.74

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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.