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Finding the Third Proportional to 56,204 and 84,677

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Solution

The third proportional to 56,204 and 84,677 is: 127,574.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    56,204 : 84,677 = 84,677 : x
  2. Step 2: Convert to fraction form
    56,204/84,677 = 84,677/x
  3. Step 3: Cross multiply
    56,204x = 84,677 × 84,677
  4. Step 4: Simplify right side
    56,204x = 7,170,194,329
  5. Step 5: Solve for x
    x = 7,170,194,329/56,204
  6. Step 6: Final answer
    x = 127,574.45

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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.