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Finding the Third Proportional to 81,182.25 and 187,940.25

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Solution

The third proportional to 81,182.25 and 187,940.25 is: 435,089.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,182.25 : 187,940.25 = 187,940.25 : x
  2. Step 2: Convert to fraction form
    81,182.25/187,940.25 = 187,940.25/x
  3. Step 3: Cross multiply
    81,182.25x = 187,940.25 × 187,940.25
  4. Step 4: Simplify right side
    81,182.25x = 35,321,537,570.06
  5. Step 5: Solve for x
    x = 35,321,537,570.06/81,182.25
  6. Step 6: Final answer
    x = 435,089.41

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.