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Finding the Third Proportional to 29,081 and 64,054

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Solution

The third proportional to 29,081 and 64,054 is: 141,085.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    29,081 : 64,054 = 64,054 : x
  2. Step 2: Convert to fraction form
    29,081/64,054 = 64,054/x
  3. Step 3: Cross multiply
    29,081x = 64,054 × 64,054
  4. Step 4: Simplify right side
    29,081x = 4,102,914,916
  5. Step 5: Solve for x
    x = 4,102,914,916/29,081
  6. Step 6: Final answer
    x = 141,085.76

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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.