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Finding the Third Proportional to 86,526 and 191,839

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Solution

The third proportional to 86,526 and 191,839 is: 425,331.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,526 : 191,839 = 191,839 : x
  2. Step 2: Convert to fraction form
    86,526/191,839 = 191,839/x
  3. Step 3: Cross multiply
    86,526x = 191,839 × 191,839
  4. Step 4: Simplify right side
    86,526x = 36,802,201,921
  5. Step 5: Solve for x
    x = 36,802,201,921/86,526
  6. Step 6: Final answer
    x = 425,331.14

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.