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Finding the Third Proportional to 66,273 and 144,210

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Solution

The third proportional to 66,273 and 144,210 is: 313,800.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,273 : 144,210 = 144,210 : x
  2. Step 2: Convert to fraction form
    66,273/144,210 = 144,210/x
  3. Step 3: Cross multiply
    66,273x = 144,210 × 144,210
  4. Step 4: Simplify right side
    66,273x = 20,796,524,100
  5. Step 5: Solve for x
    x = 20,796,524,100/66,273
  6. Step 6: Final answer
    x = 313,800.86

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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.