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Finding the Third Proportional to 56,696 and 123,596

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Solution

The third proportional to 56,696 and 123,596 is: 269,436.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,696 : 123,596 = 123,596 : x
  2. Step 2: Convert to fraction form
    56,696/123,596 = 123,596/x
  3. Step 3: Cross multiply
    56,696x = 123,596 × 123,596
  4. Step 4: Simplify right side
    56,696x = 15,275,971,216
  5. Step 5: Solve for x
    x = 15,275,971,216/56,696
  6. Step 6: Final answer
    x = 269,436.49

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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.