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Finding the Third Proportional to 66,802 and 145,916

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Solution

The third proportional to 66,802 and 145,916 is: 318,725.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,802 : 145,916 = 145,916 : x
  2. Step 2: Convert to fraction form
    66,802/145,916 = 145,916/x
  3. Step 3: Cross multiply
    66,802x = 145,916 × 145,916
  4. Step 4: Simplify right side
    66,802x = 21,291,479,056
  5. Step 5: Solve for x
    x = 21,291,479,056/66,802
  6. Step 6: Final answer
    x = 318,725.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.