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Finding the Third Proportional to 55,564.31 and 123,138.56

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Solution

The third proportional to 55,564.31 and 123,138.56 is: 272,892.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,564.31 : 123,138.56 = 123,138.56 : x
  2. Step 2: Convert to fraction form
    55,564.31/123,138.56 = 123,138.56/x
  3. Step 3: Cross multiply
    55,564.31x = 123,138.56 × 123,138.56
  4. Step 4: Simplify right side
    55,564.31x = 15,163,105,574.57
  5. Step 5: Solve for x
    x = 15,163,105,574.57/55,564.31
  6. Step 6: Final answer
    x = 272,892.89

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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.