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Finding the Third Proportional to 87,617 and 116,467

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Solution

The third proportional to 87,617 and 116,467 is: 154,816.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,617 : 116,467 = 116,467 : x
  2. Step 2: Convert to fraction form
    87,617/116,467 = 116,467/x
  3. Step 3: Cross multiply
    87,617x = 116,467 × 116,467
  4. Step 4: Simplify right side
    87,617x = 13,564,562,089
  5. Step 5: Solve for x
    x = 13,564,562,089/87,617
  6. Step 6: Final answer
    x = 154,816.55

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Why These Related Problems?

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