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Finding the Third Proportional to 87,542 and 128,206

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Solution

The third proportional to 87,542 and 128,206 is: 187,758.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    87,542 : 128,206 = 128,206 : x
  2. Step 2: Convert to fraction form
    87,542/128,206 = 128,206/x
  3. Step 3: Cross multiply
    87,542x = 128,206 × 128,206
  4. Step 4: Simplify right side
    87,542x = 16,436,778,436
  5. Step 5: Solve for x
    x = 16,436,778,436/87,542
  6. Step 6: Final answer
    x = 187,758.77

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.