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Finding the Third Proportional to 132,108 and 285,272

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Solution

The third proportional to 132,108 and 285,272 is: 616,012.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,108 : 285,272 = 285,272 : x
  2. Step 2: Convert to fraction form
    132,108/285,272 = 285,272/x
  3. Step 3: Cross multiply
    132,108x = 285,272 × 285,272
  4. Step 4: Simplify right side
    132,108x = 81,380,113,984
  5. Step 5: Solve for x
    x = 81,380,113,984/132,108
  6. Step 6: Final answer
    x = 616,012.01

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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.