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Finding the Third Proportional to 66,096 and 144,060.19

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Solution

The third proportional to 66,096 and 144,060.19 is: 313,987.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,096 : 144,060.19 = 144,060.19 : x
  2. Step 2: Convert to fraction form
    66,096/144,060.19 = 144,060.19/x
  3. Step 3: Cross multiply
    66,096x = 144,060.19 × 144,060.19
  4. Step 4: Simplify right side
    66,096x = 20,753,337,622.54
  5. Step 5: Solve for x
    x = 20,753,337,622.54/66,096
  6. Step 6: Final answer
    x = 313,987.80

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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.