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Finding the Third Proportional to 133,938 and 207,522

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Solution

The third proportional to 133,938 and 207,522 is: 321,532.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,938 : 207,522 = 207,522 : x
  2. Step 2: Convert to fraction form
    133,938/207,522 = 207,522/x
  3. Step 3: Cross multiply
    133,938x = 207,522 × 207,522
  4. Step 4: Simplify right side
    133,938x = 43,065,380,484
  5. Step 5: Solve for x
    x = 43,065,380,484/133,938
  6. Step 6: Final answer
    x = 321,532.21

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.