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Finding the Third Proportional to 85,029.75 and 132,714

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Solution

The third proportional to 85,029.75 and 132,714 is: 207,139.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,029.75 : 132,714 = 132,714 : x
  2. Step 2: Convert to fraction form
    85,029.75/132,714 = 132,714/x
  3. Step 3: Cross multiply
    85,029.75x = 132,714 × 132,714
  4. Step 4: Simplify right side
    85,029.75x = 17,613,005,796
  5. Step 5: Solve for x
    x = 17,613,005,796/85,029.75
  6. Step 6: Final answer
    x = 207,139.33

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These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.