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Finding the Third Proportional to 61,513 and 132,367

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Solution

The third proportional to 61,513 and 132,367 is: 284,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,513 : 132,367 = 132,367 : x
  2. Step 2: Convert to fraction form
    61,513/132,367 = 132,367/x
  3. Step 3: Cross multiply
    61,513x = 132,367 × 132,367
  4. Step 4: Simplify right side
    61,513x = 17,521,022,689
  5. Step 5: Solve for x
    x = 17,521,022,689/61,513
  6. Step 6: Final answer
    x = 284,834.47

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.