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Finding the Third Proportional to 93,980 and 138,374

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Solution

The third proportional to 93,980 and 138,374 is: 203,738.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,980 : 138,374 = 138,374 : x
  2. Step 2: Convert to fraction form
    93,980/138,374 = 138,374/x
  3. Step 3: Cross multiply
    93,980x = 138,374 × 138,374
  4. Step 4: Simplify right side
    93,980x = 19,147,363,876
  5. Step 5: Solve for x
    x = 19,147,363,876/93,980
  6. Step 6: Final answer
    x = 203,738.71

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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.