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Finding the Third Proportional to 66,186 and 144,020

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Solution

The third proportional to 66,186 and 144,020 is: 313,385.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,186 : 144,020 = 144,020 : x
  2. Step 2: Convert to fraction form
    66,186/144,020 = 144,020/x
  3. Step 3: Cross multiply
    66,186x = 144,020 × 144,020
  4. Step 4: Simplify right side
    66,186x = 20,741,760,400
  5. Step 5: Solve for x
    x = 20,741,760,400/66,186
  6. Step 6: Final answer
    x = 313,385.92

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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.