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Finding the Third Proportional to 107,695.75 and 234,975

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Solution

The third proportional to 107,695.75 and 234,975 is: 512,678.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,695.75 : 234,975 = 234,975 : x
  2. Step 2: Convert to fraction form
    107,695.75/234,975 = 234,975/x
  3. Step 3: Cross multiply
    107,695.75x = 234,975 × 234,975
  4. Step 4: Simplify right side
    107,695.75x = 55,213,250,625
  5. Step 5: Solve for x
    x = 55,213,250,625/107,695.75
  6. Step 6: Final answer
    x = 512,678.08

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.