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Finding the Third Proportional to 60,760 and 133,468

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Solution

The third proportional to 60,760 and 133,468 is: 293,181.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,760 : 133,468 = 133,468 : x
  2. Step 2: Convert to fraction form
    60,760/133,468 = 133,468/x
  3. Step 3: Cross multiply
    60,760x = 133,468 × 133,468
  4. Step 4: Simplify right side
    60,760x = 17,813,707,024
  5. Step 5: Solve for x
    x = 17,813,707,024/60,760
  6. Step 6: Final answer
    x = 293,181.48

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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.