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Finding the Third Proportional to 73,725 and 111,287

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Solution

The third proportional to 73,725 and 111,287 is: 167,986.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,725 : 111,287 = 111,287 : x
  2. Step 2: Convert to fraction form
    73,725/111,287 = 111,287/x
  3. Step 3: Cross multiply
    73,725x = 111,287 × 111,287
  4. Step 4: Simplify right side
    73,725x = 12,384,796,369
  5. Step 5: Solve for x
    x = 12,384,796,369/73,725
  6. Step 6: Final answer
    x = 167,986.39

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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.