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Finding the Third Proportional to 60,192 and 132,368

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Solution

The third proportional to 60,192 and 132,368 is: 291,089.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,192 : 132,368 = 132,368 : x
  2. Step 2: Convert to fraction form
    60,192/132,368 = 132,368/x
  3. Step 3: Cross multiply
    60,192x = 132,368 × 132,368
  4. Step 4: Simplify right side
    60,192x = 17,521,287,424
  5. Step 5: Solve for x
    x = 17,521,287,424/60,192
  6. Step 6: Final answer
    x = 291,089.97

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.