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Finding the Third Proportional to 118,203.75 and 177,427.13

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Solution

The third proportional to 118,203.75 and 177,427.13 is: 266,323.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,203.75 : 177,427.13 = 177,427.13 : x
  2. Step 2: Convert to fraction form
    118,203.75/177,427.13 = 177,427.13/x
  3. Step 3: Cross multiply
    118,203.75x = 177,427.13 × 177,427.13
  4. Step 4: Simplify right side
    118,203.75x = 31,480,384,685.77
  5. Step 5: Solve for x
    x = 31,480,384,685.77/118,203.75
  6. Step 6: Final answer
    x = 266,323.06

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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.