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Finding the Third Proportional to 85,598.44 and 133,060.22

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Solution

The third proportional to 85,598.44 and 133,060.22 is: 206,838.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,598.44 : 133,060.22 = 133,060.22 : x
  2. Step 2: Convert to fraction form
    85,598.44/133,060.22 = 133,060.22/x
  3. Step 3: Cross multiply
    85,598.44x = 133,060.22 × 133,060.22
  4. Step 4: Simplify right side
    85,598.44x = 17,705,021,813.80
  5. Step 5: Solve for x
    x = 17,705,021,813.80/85,598.44
  6. Step 6: Final answer
    x = 206,838.14

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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.