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Finding the Third Proportional to 66,486 and 144,049

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Solution

The third proportional to 66,486 and 144,049 is: 312,097.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,486 : 144,049 = 144,049 : x
  2. Step 2: Convert to fraction form
    66,486/144,049 = 144,049/x
  3. Step 3: Cross multiply
    66,486x = 144,049 × 144,049
  4. Step 4: Simplify right side
    66,486x = 20,750,114,401
  5. Step 5: Solve for x
    x = 20,750,114,401/66,486
  6. Step 6: Final answer
    x = 312,097.50

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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.