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Finding the Third Proportional to 56,728.88 and 123,438.32

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Solution

The third proportional to 56,728.88 and 123,438.32 is: 268,593.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,728.88 : 123,438.32 = 123,438.32 : x
  2. Step 2: Convert to fraction form
    56,728.88/123,438.32 = 123,438.32/x
  3. Step 3: Cross multiply
    56,728.88x = 123,438.32 × 123,438.32
  4. Step 4: Simplify right side
    56,728.88x = 15,237,019,641.08
  5. Step 5: Solve for x
    x = 15,237,019,641.08/56,728.88
  6. Step 6: Final answer
    x = 268,593.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.