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Finding the Third Proportional to 86,628 and 188,052

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Solution

The third proportional to 86,628 and 188,052 is: 408,223.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,628 : 188,052 = 188,052 : x
  2. Step 2: Convert to fraction form
    86,628/188,052 = 188,052/x
  3. Step 3: Cross multiply
    86,628x = 188,052 × 188,052
  4. Step 4: Simplify right side
    86,628x = 35,363,554,704
  5. Step 5: Solve for x
    x = 35,363,554,704/86,628
  6. Step 6: Final answer
    x = 408,223.15

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.