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Finding the Third Proportional to 55,631.25 and 123,736.50

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Solution

The third proportional to 55,631.25 and 123,736.50 is: 275,218.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,631.25 : 123,736.50 = 123,736.50 : x
  2. Step 2: Convert to fraction form
    55,631.25/123,736.50 = 123,736.50/x
  3. Step 3: Cross multiply
    55,631.25x = 123,736.50 × 123,736.50
  4. Step 4: Simplify right side
    55,631.25x = 15,310,721,432.25
  5. Step 5: Solve for x
    x = 15,310,721,432.25/55,631.25
  6. Step 6: Final answer
    x = 275,218.00

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Why These Related Problems?

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