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Finding the Third Proportional to 60,783 and 132,663

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Solution

The third proportional to 60,783 and 132,663 is: 289,545.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    60,783 : 132,663 = 132,663 : x
  2. Step 2: Convert to fraction form
    60,783/132,663 = 132,663/x
  3. Step 3: Cross multiply
    60,783x = 132,663 × 132,663
  4. Step 4: Simplify right side
    60,783x = 17,599,471,569
  5. Step 5: Solve for x
    x = 17,599,471,569/60,783
  6. Step 6: Final answer
    x = 289,545.95

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.