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Finding the Third Proportional to 85,588.31 and 133,047.56

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Solution

The third proportional to 85,588.31 and 133,047.56 is: 206,823.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,588.31 : 133,047.56 = 133,047.56 : x
  2. Step 2: Convert to fraction form
    85,588.31/133,047.56 = 133,047.56/x
  3. Step 3: Cross multiply
    85,588.31x = 133,047.56 × 133,047.56
  4. Step 4: Simplify right side
    85,588.31x = 17,701,653,887.19
  5. Step 5: Solve for x
    x = 17,701,653,887.19/85,588.31
  6. Step 6: Final answer
    x = 206,823.26

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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.