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Finding the Third Proportional to 118,174.50 and 172,181.25

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Solution

The third proportional to 118,174.50 and 172,181.25 is: 250,869.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    118,174.50 : 172,181.25 = 172,181.25 : x
  2. Step 2: Convert to fraction form
    118,174.50/172,181.25 = 172,181.25/x
  3. Step 3: Cross multiply
    118,174.50x = 172,181.25 × 172,181.25
  4. Step 4: Simplify right side
    118,174.50x = 29,646,382,851.56
  5. Step 5: Solve for x
    x = 29,646,382,851.56/118,174.50
  6. Step 6: Final answer
    x = 250,869.54

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.