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Finding the Third Proportional to 86,554 and 191,894

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Solution

The third proportional to 86,554 and 191,894 is: 425,437.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,554 : 191,894 = 191,894 : x
  2. Step 2: Convert to fraction form
    86,554/191,894 = 191,894/x
  3. Step 3: Cross multiply
    86,554x = 191,894 × 191,894
  4. Step 4: Simplify right side
    86,554x = 36,823,307,236
  5. Step 5: Solve for x
    x = 36,823,307,236/86,554
  6. Step 6: Final answer
    x = 425,437.38

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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.