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Finding the Third Proportional to 85,303.13 and 132,451.03

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Solution

The third proportional to 85,303.13 and 132,451.03 is: 205,658.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,303.13 : 132,451.03 = 132,451.03 : x
  2. Step 2: Convert to fraction form
    85,303.13/132,451.03 = 132,451.03/x
  3. Step 3: Cross multiply
    85,303.13x = 132,451.03 × 132,451.03
  4. Step 4: Simplify right side
    85,303.13x = 17,543,275,679.19
  5. Step 5: Solve for x
    x = 17,543,275,679.19/85,303.13
  6. Step 6: Final answer
    x = 205,658.07

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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.