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Finding the Third Proportional to 132,042 and 285,126

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Solution

The third proportional to 132,042 and 285,126 is: 615,689.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,042 : 285,126 = 285,126 : x
  2. Step 2: Convert to fraction form
    132,042/285,126 = 285,126/x
  3. Step 3: Cross multiply
    132,042x = 285,126 × 285,126
  4. Step 4: Simplify right side
    132,042x = 81,296,835,876
  5. Step 5: Solve for x
    x = 81,296,835,876/132,042
  6. Step 6: Final answer
    x = 615,689.22

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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.