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Finding the Third Proportional to 118,163.81 and 177,332.63

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Solution

The third proportional to 118,163.81 and 177,332.63 is: 266,129.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,163.81 : 177,332.63 = 177,332.63 : x
  2. Step 2: Convert to fraction form
    118,163.81/177,332.63 = 177,332.63/x
  3. Step 3: Cross multiply
    118,163.81x = 177,332.63 × 177,332.63
  4. Step 4: Simplify right side
    118,163.81x = 31,446,859,889.39
  5. Step 5: Solve for x
    x = 31,446,859,889.39/118,163.81
  6. Step 6: Final answer
    x = 266,129.36

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.