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Finding the Third Proportional to 86,553 and 186,426

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Solution

The third proportional to 86,553 and 186,426 is: 401,541.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,553 : 186,426 = 186,426 : x
  2. Step 2: Convert to fraction form
    86,553/186,426 = 186,426/x
  3. Step 3: Cross multiply
    86,553x = 186,426 × 186,426
  4. Step 4: Simplify right side
    86,553x = 34,754,653,476
  5. Step 5: Solve for x
    x = 34,754,653,476/86,553
  6. Step 6: Final answer
    x = 401,541.87

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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.