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Finding the Third Proportional to 53,560 and 83,204

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Solution

The third proportional to 53,560 and 83,204 is: 129,255.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,560 : 83,204 = 83,204 : x
  2. Step 2: Convert to fraction form
    53,560/83,204 = 83,204/x
  3. Step 3: Cross multiply
    53,560x = 83,204 × 83,204
  4. Step 4: Simplify right side
    53,560x = 6,922,905,616
  5. Step 5: Solve for x
    x = 6,922,905,616/53,560
  6. Step 6: Final answer
    x = 129,255.15

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.