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Finding the Third Proportional to 56,388 and 123,938

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Solution

The third proportional to 56,388 and 123,938 is: 272,409.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,388 : 123,938 = 123,938 : x
  2. Step 2: Convert to fraction form
    56,388/123,938 = 123,938/x
  3. Step 3: Cross multiply
    56,388x = 123,938 × 123,938
  4. Step 4: Simplify right side
    56,388x = 15,360,627,844
  5. Step 5: Solve for x
    x = 15,360,627,844/56,388
  6. Step 6: Final answer
    x = 272,409.52

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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.