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Finding the Third Proportional to 87,192 and 122,784

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Solution

The third proportional to 87,192 and 122,784 is: 172,904.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,192 : 122,784 = 122,784 : x
  2. Step 2: Convert to fraction form
    87,192/122,784 = 122,784/x
  3. Step 3: Cross multiply
    87,192x = 122,784 × 122,784
  4. Step 4: Simplify right side
    87,192x = 15,075,910,656
  5. Step 5: Solve for x
    x = 15,075,910,656/87,192
  6. Step 6: Final answer
    x = 172,904.75

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.