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Finding the Third Proportional to 66,517.50 and 144,101

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Solution

The third proportional to 66,517.50 and 144,101 is: 312,174.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,517.50 : 144,101 = 144,101 : x
  2. Step 2: Convert to fraction form
    66,517.50/144,101 = 144,101/x
  3. Step 3: Cross multiply
    66,517.50x = 144,101 × 144,101
  4. Step 4: Simplify right side
    66,517.50x = 20,765,098,201
  5. Step 5: Solve for x
    x = 20,765,098,201/66,517.50
  6. Step 6: Final answer
    x = 312,174.96

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.