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Finding the Third Proportional to 118,992 and 175,197

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Solution

The third proportional to 118,992 and 175,197 is: 257,950.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,992 : 175,197 = 175,197 : x
  2. Step 2: Convert to fraction form
    118,992/175,197 = 175,197/x
  3. Step 3: Cross multiply
    118,992x = 175,197 × 175,197
  4. Step 4: Simplify right side
    118,992x = 30,693,988,809
  5. Step 5: Solve for x
    x = 30,693,988,809/118,992
  6. Step 6: Final answer
    x = 257,950.02

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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.