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Finding the Third Proportional to 66,188 and 144,524

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Solution

The third proportional to 66,188 and 144,524 is: 315,573.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,188 : 144,524 = 144,524 : x
  2. Step 2: Convert to fraction form
    66,188/144,524 = 144,524/x
  3. Step 3: Cross multiply
    66,188x = 144,524 × 144,524
  4. Step 4: Simplify right side
    66,188x = 20,887,186,576
  5. Step 5: Solve for x
    x = 20,887,186,576/66,188
  6. Step 6: Final answer
    x = 315,573.62

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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.