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Finding the Third Proportional to 85,449.50 and 132,653

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Solution

The third proportional to 85,449.50 and 132,653 is: 205,932.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,449.50 : 132,653 = 132,653 : x
  2. Step 2: Convert to fraction form
    85,449.50/132,653 = 132,653/x
  3. Step 3: Cross multiply
    85,449.50x = 132,653 × 132,653
  4. Step 4: Simplify right side
    85,449.50x = 17,596,818,409
  5. Step 5: Solve for x
    x = 17,596,818,409/85,449.50
  6. Step 6: Final answer
    x = 205,932.37

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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.