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Finding the Third Proportional to 118,981.50 and 175,178.25

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Solution

The third proportional to 118,981.50 and 175,178.25 is: 257,917.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,981.50 : 175,178.25 = 175,178.25 : x
  2. Step 2: Convert to fraction form
    118,981.50/175,178.25 = 175,178.25/x
  3. Step 3: Cross multiply
    118,981.50x = 175,178.25 × 175,178.25
  4. Step 4: Simplify right side
    118,981.50x = 30,687,419,273.06
  5. Step 5: Solve for x
    x = 30,687,419,273.06/118,981.50
  6. Step 6: Final answer
    x = 257,917.57

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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.