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Finding the Third Proportional to 57,359.95 and 123,023.81

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Solution

The third proportional to 57,359.95 and 123,023.81 is: 263,857.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,359.95 : 123,023.81 = 123,023.81 : x
  2. Step 2: Convert to fraction form
    57,359.95/123,023.81 = 123,023.81/x
  3. Step 3: Cross multiply
    57,359.95x = 123,023.81 × 123,023.81
  4. Step 4: Simplify right side
    57,359.95x = 15,134,858,442.04
  5. Step 5: Solve for x
    x = 15,134,858,442.04/57,359.95
  6. Step 6: Final answer
    x = 263,857.58

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.