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Finding the Third Proportional to 86,753 and 188,896

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Solution

The third proportional to 86,753 and 188,896 is: 411,302.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,753 : 188,896 = 188,896 : x
  2. Step 2: Convert to fraction form
    86,753/188,896 = 188,896/x
  3. Step 3: Cross multiply
    86,753x = 188,896 × 188,896
  4. Step 4: Simplify right side
    86,753x = 35,681,698,816
  5. Step 5: Solve for x
    x = 35,681,698,816/86,753
  6. Step 6: Final answer
    x = 411,302.19

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.