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Finding the Third Proportional to 56,428 and 123,976

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Solution

The third proportional to 56,428 and 123,976 is: 272,383.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,428 : 123,976 = 123,976 : x
  2. Step 2: Convert to fraction form
    56,428/123,976 = 123,976/x
  3. Step 3: Cross multiply
    56,428x = 123,976 × 123,976
  4. Step 4: Simplify right side
    56,428x = 15,370,048,576
  5. Step 5: Solve for x
    x = 15,370,048,576/56,428
  6. Step 6: Final answer
    x = 272,383.37

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.