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Finding the Third Proportional to 56,928 and 123,699.75

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Solution

The third proportional to 56,928 and 123,699.75 is: 268,789.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,928 : 123,699.75 = 123,699.75 : x
  2. Step 2: Convert to fraction form
    56,928/123,699.75 = 123,699.75/x
  3. Step 3: Cross multiply
    56,928x = 123,699.75 × 123,699.75
  4. Step 4: Simplify right side
    56,928x = 15,301,628,150.06
  5. Step 5: Solve for x
    x = 15,301,628,150.06/56,928
  6. Step 6: Final answer
    x = 268,789.14

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.