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Finding the Third Proportional to 61,368 and 132,393

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Solution

The third proportional to 61,368 and 132,393 is: 285,619.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,368 : 132,393 = 132,393 : x
  2. Step 2: Convert to fraction form
    61,368/132,393 = 132,393/x
  3. Step 3: Cross multiply
    61,368x = 132,393 × 132,393
  4. Step 4: Simplify right side
    61,368x = 17,527,906,449
  5. Step 5: Solve for x
    x = 17,527,906,449/61,368
  6. Step 6: Final answer
    x = 285,619.65

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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.