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Finding the Third Proportional to 118,181 and 175,415

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Solution

The third proportional to 118,181 and 175,415 is: 260,366.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,181 : 175,415 = 175,415 : x
  2. Step 2: Convert to fraction form
    118,181/175,415 = 175,415/x
  3. Step 3: Cross multiply
    118,181x = 175,415 × 175,415
  4. Step 4: Simplify right side
    118,181x = 30,770,422,225
  5. Step 5: Solve for x
    x = 30,770,422,225/118,181
  6. Step 6: Final answer
    x = 260,366.91

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.