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Finding the Third Proportional to 68,036 and 144,166

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Solution

The third proportional to 68,036 and 144,166 is: 305,482.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,036 : 144,166 = 144,166 : x
  2. Step 2: Convert to fraction form
    68,036/144,166 = 144,166/x
  3. Step 3: Cross multiply
    68,036x = 144,166 × 144,166
  4. Step 4: Simplify right side
    68,036x = 20,783,835,556
  5. Step 5: Solve for x
    x = 20,783,835,556/68,036
  6. Step 6: Final answer
    x = 305,482.91

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.