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Finding the Third Proportional to 71,932 and 146,716

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Solution

The third proportional to 71,932 and 146,716 is: 299,249.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,932 : 146,716 = 146,716 : x
  2. Step 2: Convert to fraction form
    71,932/146,716 = 146,716/x
  3. Step 3: Cross multiply
    71,932x = 146,716 × 146,716
  4. Step 4: Simplify right side
    71,932x = 21,525,584,656
  5. Step 5: Solve for x
    x = 21,525,584,656/71,932
  6. Step 6: Final answer
    x = 299,249.08

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.