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Finding the Third Proportional to 75,557.25 and 115,706.25

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Solution

The third proportional to 75,557.25 and 115,706.25 is: 177,189.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,557.25 : 115,706.25 = 115,706.25 : x
  2. Step 2: Convert to fraction form
    75,557.25/115,706.25 = 115,706.25/x
  3. Step 3: Cross multiply
    75,557.25x = 115,706.25 × 115,706.25
  4. Step 4: Simplify right side
    75,557.25x = 13,387,936,289.06
  5. Step 5: Solve for x
    x = 13,387,936,289.06/75,557.25
  6. Step 6: Final answer
    x = 177,189.30

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