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Finding the Third Proportional to 66,202 and 144,068

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Solution

The third proportional to 66,202 and 144,068 is: 313,519.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,202 : 144,068 = 144,068 : x
  2. Step 2: Convert to fraction form
    66,202/144,068 = 144,068/x
  3. Step 3: Cross multiply
    66,202x = 144,068 × 144,068
  4. Step 4: Simplify right side
    66,202x = 20,755,588,624
  5. Step 5: Solve for x
    x = 20,755,588,624/66,202
  6. Step 6: Final answer
    x = 313,519.06

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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.