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Finding the Third Proportional to 88,000 and 116,689

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Solution

The third proportional to 88,000 and 116,689 is: 154,730.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    88,000 : 116,689 = 116,689 : x
  2. Step 2: Convert to fraction form
    88,000/116,689 = 116,689/x
  3. Step 3: Cross multiply
    88,000x = 116,689 × 116,689
  4. Step 4: Simplify right side
    88,000x = 13,616,322,721
  5. Step 5: Solve for x
    x = 13,616,322,721/88,000
  6. Step 6: Final answer
    x = 154,730.94

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These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.