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Finding the Third Proportional to 58,192 and 131,368

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Solution

The third proportional to 58,192 and 131,368 is: 296,562.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    58,192 : 131,368 = 131,368 : x
  2. Step 2: Convert to fraction form
    58,192/131,368 = 131,368/x
  3. Step 3: Cross multiply
    58,192x = 131,368 × 131,368
  4. Step 4: Simplify right side
    58,192x = 17,257,551,424
  5. Step 5: Solve for x
    x = 17,257,551,424/58,192
  6. Step 6: Final answer
    x = 296,562.27

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Why These Related Problems?

These problems maintain the same ratio (2.26) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.