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Finding the Third Proportional to 85,977.75 and 96,639.75

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Solution

The third proportional to 85,977.75 and 96,639.75 is: 108,623.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,977.75 : 96,639.75 = 96,639.75 : x
  2. Step 2: Convert to fraction form
    85,977.75/96,639.75 = 96,639.75/x
  3. Step 3: Cross multiply
    85,977.75x = 96,639.75 × 96,639.75
  4. Step 4: Simplify right side
    85,977.75x = 9,339,241,280.06
  5. Step 5: Solve for x
    x = 9,339,241,280.06/85,977.75
  6. Step 6: Final answer
    x = 108,623.93

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Why These Related Problems?

These problems maintain the same ratio (1.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.