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Finding the Third Proportional to 86,621 and 186,634

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Solution

The third proportional to 86,621 and 186,634 is: 402,122.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,621 : 186,634 = 186,634 : x
  2. Step 2: Convert to fraction form
    86,621/186,634 = 186,634/x
  3. Step 3: Cross multiply
    86,621x = 186,634 × 186,634
  4. Step 4: Simplify right side
    86,621x = 34,832,249,956
  5. Step 5: Solve for x
    x = 34,832,249,956/86,621
  6. Step 6: Final answer
    x = 402,122.46

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.