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Finding the Third Proportional to 66,131.25 and 146,976.75

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Solution

The third proportional to 66,131.25 and 146,976.75 is: 326,655.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,131.25 : 146,976.75 = 146,976.75 : x
  2. Step 2: Convert to fraction form
    66,131.25/146,976.75 = 146,976.75/x
  3. Step 3: Cross multiply
    66,131.25x = 146,976.75 × 146,976.75
  4. Step 4: Simplify right side
    66,131.25x = 21,602,165,040.56
  5. Step 5: Solve for x
    x = 21,602,165,040.56/66,131.25
  6. Step 6: Final answer
    x = 326,655.93

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These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.