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Finding the Third Proportional to 110,457.75 and 172,794.38

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Solution

The third proportional to 110,457.75 and 172,794.38 is: 270,310.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,457.75 : 172,794.38 = 172,794.38 : x
  2. Step 2: Convert to fraction form
    110,457.75/172,794.38 = 172,794.38/x
  3. Step 3: Cross multiply
    110,457.75x = 172,794.38 × 172,794.38
  4. Step 4: Simplify right side
    110,457.75x = 29,857,896,031.64
  5. Step 5: Solve for x
    x = 29,857,896,031.64/110,457.75
  6. Step 6: Final answer
    x = 270,310.56

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.