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Finding the Third Proportional to 66,108 and 144,732

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Solution

The third proportional to 66,108 and 144,732 is: 316,865.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    66,108 : 144,732 = 144,732 : x
  2. Step 2: Convert to fraction form
    66,108/144,732 = 144,732/x
  3. Step 3: Cross multiply
    66,108x = 144,732 × 144,732
  4. Step 4: Simplify right side
    66,108x = 20,947,351,824
  5. Step 5: Solve for x
    x = 20,947,351,824/66,108
  6. Step 6: Final answer
    x = 316,865.61

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.