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Finding the Third Proportional to 66,411 and 143,314

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Solution

The third proportional to 66,411 and 143,314 is: 309,269.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,411 : 143,314 = 143,314 : x
  2. Step 2: Convert to fraction form
    66,411/143,314 = 143,314/x
  3. Step 3: Cross multiply
    66,411x = 143,314 × 143,314
  4. Step 4: Simplify right side
    66,411x = 20,538,902,596
  5. Step 5: Solve for x
    x = 20,538,902,596/66,411
  6. Step 6: Final answer
    x = 309,269.59

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.