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Finding the Third Proportional to 36,058 and 77,098

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Solution

The third proportional to 36,058 and 77,098 is: 164,848.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,058 : 77,098 = 77,098 : x
  2. Step 2: Convert to fraction form
    36,058/77,098 = 77,098/x
  3. Step 3: Cross multiply
    36,058x = 77,098 × 77,098
  4. Step 4: Simplify right side
    36,058x = 5,944,101,604
  5. Step 5: Solve for x
    x = 5,944,101,604/36,058
  6. Step 6: Final answer
    x = 164,848.34

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.