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Finding the Third Proportional to 56,692 and 83,308

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Solution

The third proportional to 56,692 and 83,308 is: 122,419.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,692 : 83,308 = 83,308 : x
  2. Step 2: Convert to fraction form
    56,692/83,308 = 83,308/x
  3. Step 3: Cross multiply
    56,692x = 83,308 × 83,308
  4. Step 4: Simplify right side
    56,692x = 6,940,222,864
  5. Step 5: Solve for x
    x = 6,940,222,864/56,692
  6. Step 6: Final answer
    x = 122,419.79

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.