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Finding the Third Proportional to 85,519.13 and 132,431.06

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Solution

The third proportional to 85,519.13 and 132,431.06 is: 205,076.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,519.13 : 132,431.06 = 132,431.06 : x
  2. Step 2: Convert to fraction form
    85,519.13/132,431.06 = 132,431.06/x
  3. Step 3: Cross multiply
    85,519.13x = 132,431.06 × 132,431.06
  4. Step 4: Simplify right side
    85,519.13x = 17,537,986,314.88
  5. Step 5: Solve for x
    x = 17,537,986,314.88/85,519.13
  6. Step 6: Final answer
    x = 205,076.77

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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.