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Finding the Third Proportional to 57,557.25 and 123,109.88

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Solution

The third proportional to 57,557.25 and 123,109.88 is: 263,321.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,557.25 : 123,109.88 = 123,109.88 : x
  2. Step 2: Convert to fraction form
    57,557.25/123,109.88 = 123,109.88/x
  3. Step 3: Cross multiply
    57,557.25x = 123,109.88 × 123,109.88
  4. Step 4: Simplify right side
    57,557.25x = 15,156,041,322.52
  5. Step 5: Solve for x
    x = 15,156,041,322.52/57,557.25
  6. Step 6: Final answer
    x = 263,321.15

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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.