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Finding the Third Proportional to 86,058 and 186,417

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Solution

The third proportional to 86,058 and 186,417 is: 403,812.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,058 : 186,417 = 186,417 : x
  2. Step 2: Convert to fraction form
    86,058/186,417 = 186,417/x
  3. Step 3: Cross multiply
    86,058x = 186,417 × 186,417
  4. Step 4: Simplify right side
    86,058x = 34,751,297,889
  5. Step 5: Solve for x
    x = 34,751,297,889/86,058
  6. Step 6: Final answer
    x = 403,812.52

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.