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Finding the Third Proportional to 60,697.50 and 133,440.38

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Solution

The third proportional to 60,697.50 and 133,440.38 is: 293,361.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,697.50 : 133,440.38 = 133,440.38 : x
  2. Step 2: Convert to fraction form
    60,697.50/133,440.38 = 133,440.38/x
  3. Step 3: Cross multiply
    60,697.50x = 133,440.38 × 133,440.38
  4. Step 4: Simplify right side
    60,697.50x = 17,806,333,680.14
  5. Step 5: Solve for x
    x = 17,806,333,680.14/60,697.50
  6. Step 6: Final answer
    x = 293,361.90

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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.