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Finding the Third Proportional to 85,456.13 and 132,663.94

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Solution

The third proportional to 85,456.13 and 132,663.94 is: 205,950.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,456.13 : 132,663.94 = 132,663.94 : x
  2. Step 2: Convert to fraction form
    85,456.13/132,663.94 = 132,663.94/x
  3. Step 3: Cross multiply
    85,456.13x = 132,663.94 × 132,663.94
  4. Step 4: Simplify right side
    85,456.13x = 17,599,720,313.00
  5. Step 5: Solve for x
    x = 17,599,720,313.00/85,456.13
  6. Step 6: Final answer
    x = 205,950.37

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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.