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Finding the Third Proportional to 110,468.25 and 172,811.25

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Solution

The third proportional to 110,468.25 and 172,811.25 is: 270,337.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,468.25 : 172,811.25 = 172,811.25 : x
  2. Step 2: Convert to fraction form
    110,468.25/172,811.25 = 172,811.25/x
  3. Step 3: Cross multiply
    110,468.25x = 172,811.25 × 172,811.25
  4. Step 4: Simplify right side
    110,468.25x = 29,863,728,126.56
  5. Step 5: Solve for x
    x = 29,863,728,126.56/110,468.25
  6. Step 6: Final answer
    x = 270,337.66

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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.