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Finding the Third Proportional to 55,976 and 84,396

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Solution

The third proportional to 55,976 and 84,396 is: 127,245.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,976 : 84,396 = 84,396 : x
  2. Step 2: Convert to fraction form
    55,976/84,396 = 84,396/x
  3. Step 3: Cross multiply
    55,976x = 84,396 × 84,396
  4. Step 4: Simplify right side
    55,976x = 7,122,684,816
  5. Step 5: Solve for x
    x = 7,122,684,816/55,976
  6. Step 6: Final answer
    x = 127,245.33

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.