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Finding the Third Proportional to 132,324 and 173,061

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Solution

The third proportional to 132,324 and 173,061 is: 226,339.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    132,324 : 173,061 = 173,061 : x
  2. Step 2: Convert to fraction form
    132,324/173,061 = 173,061/x
  3. Step 3: Cross multiply
    132,324x = 173,061 × 173,061
  4. Step 4: Simplify right side
    132,324x = 29,950,109,721
  5. Step 5: Solve for x
    x = 29,950,109,721/132,324
  6. Step 6: Final answer
    x = 226,339.21

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Why These Related Problems?

These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.