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Finding the Third Proportional to 75,782.25 and 115,975.13

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Solution

The third proportional to 75,782.25 and 115,975.13 is: 177,485.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,782.25 : 115,975.13 = 115,975.13 : x
  2. Step 2: Convert to fraction form
    75,782.25/115,975.13 = 115,975.13/x
  3. Step 3: Cross multiply
    75,782.25x = 115,975.13 × 115,975.13
  4. Step 4: Simplify right side
    75,782.25x = 13,450,229,618.77
  5. Step 5: Solve for x
    x = 13,450,229,618.77/75,782.25
  6. Step 6: Final answer
    x = 177,485.22

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.