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Finding the Third Proportional to 60,489 and 133,054

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Solution

The third proportional to 60,489 and 133,054 is: 292,670.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,489 : 133,054 = 133,054 : x
  2. Step 2: Convert to fraction form
    60,489/133,054 = 133,054/x
  3. Step 3: Cross multiply
    60,489x = 133,054 × 133,054
  4. Step 4: Simplify right side
    60,489x = 17,703,366,916
  5. Step 5: Solve for x
    x = 17,703,366,916/60,489
  6. Step 6: Final answer
    x = 292,670.85

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.