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Finding the Third Proportional to 84,484.27 and 131,573.11

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Solution

The third proportional to 84,484.27 and 131,573.11 is: 204,907.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,484.27 : 131,573.11 = 131,573.11 : x
  2. Step 2: Convert to fraction form
    84,484.27/131,573.11 = 131,573.11/x
  3. Step 3: Cross multiply
    84,484.27x = 131,573.11 × 131,573.11
  4. Step 4: Simplify right side
    84,484.27x = 17,311,483,110.61
  5. Step 5: Solve for x
    x = 17,311,483,110.61/84,484.27
  6. Step 6: Final answer
    x = 204,907.78

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.