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Finding the Third Proportional to 118,307.75 and 178,872.13

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Solution

The third proportional to 118,307.75 and 178,872.13 is: 270,440.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,307.75 : 178,872.13 = 178,872.13 : x
  2. Step 2: Convert to fraction form
    118,307.75/178,872.13 = 178,872.13/x
  3. Step 3: Cross multiply
    118,307.75x = 178,872.13 × 178,872.13
  4. Step 4: Simplify right side
    118,307.75x = 31,995,237,102.02
  5. Step 5: Solve for x
    x = 31,995,237,102.02/118,307.75
  6. Step 6: Final answer
    x = 270,440.75

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.