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Finding the Third Proportional to 132,102 and 285,588

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Solution

The third proportional to 132,102 and 285,588 is: 617,405.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,102 : 285,588 = 285,588 : x
  2. Step 2: Convert to fraction form
    132,102/285,588 = 285,588/x
  3. Step 3: Cross multiply
    132,102x = 285,588 × 285,588
  4. Step 4: Simplify right side
    132,102x = 81,560,505,744
  5. Step 5: Solve for x
    x = 81,560,505,744/132,102
  6. Step 6: Final answer
    x = 617,405.53

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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.