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Finding the Third Proportional to 60,740 and 133,436

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Solution

The third proportional to 60,740 and 133,436 is: 293,137.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,740 : 133,436 = 133,436 : x
  2. Step 2: Convert to fraction form
    60,740/133,436 = 133,436/x
  3. Step 3: Cross multiply
    60,740x = 133,436 × 133,436
  4. Step 4: Simplify right side
    60,740x = 17,805,166,096
  5. Step 5: Solve for x
    x = 17,805,166,096/60,740
  6. Step 6: Final answer
    x = 293,137.41

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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.