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Finding the Third Proportional to 85,995 and 132,826.50

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Solution

The third proportional to 85,995 and 132,826.50 is: 205,161.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,995 : 132,826.50 = 132,826.50 : x
  2. Step 2: Convert to fraction form
    85,995/132,826.50 = 132,826.50/x
  3. Step 3: Cross multiply
    85,995x = 132,826.50 × 132,826.50
  4. Step 4: Simplify right side
    85,995x = 17,642,879,102.25
  5. Step 5: Solve for x
    x = 17,642,879,102.25/85,995
  6. Step 6: Final answer
    x = 205,161.69

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.