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Finding the Third Proportional to 139,122 and 200,966

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Solution

The third proportional to 139,122 and 200,966 is: 290,301.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    139,122 : 200,966 = 200,966 : x
  2. Step 2: Convert to fraction form
    139,122/200,966 = 200,966/x
  3. Step 3: Cross multiply
    139,122x = 200,966 × 200,966
  4. Step 4: Simplify right side
    139,122x = 40,387,333,156
  5. Step 5: Solve for x
    x = 40,387,333,156/139,122
  6. Step 6: Final answer
    x = 290,301.56

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.