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Finding the Third Proportional to 85,392 and 137,198.25

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Solution

The third proportional to 85,392 and 137,198.25 is: 220,434.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,392 : 137,198.25 = 137,198.25 : x
  2. Step 2: Convert to fraction form
    85,392/137,198.25 = 137,198.25/x
  3. Step 3: Cross multiply
    85,392x = 137,198.25 × 137,198.25
  4. Step 4: Simplify right side
    85,392x = 18,823,359,803.06
  5. Step 5: Solve for x
    x = 18,823,359,803.06/85,392
  6. Step 6: Final answer
    x = 220,434.70

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Why These Related Problems?

These problems maintain the same ratio (1.61) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.