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Finding the Third Proportional to 70,058 and 108,777

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Solution

The third proportional to 70,058 and 108,777 is: 168,894.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,058 : 108,777 = 108,777 : x
  2. Step 2: Convert to fraction form
    70,058/108,777 = 108,777/x
  3. Step 3: Cross multiply
    70,058x = 108,777 × 108,777
  4. Step 4: Simplify right side
    70,058x = 11,832,435,729
  5. Step 5: Solve for x
    x = 11,832,435,729/70,058
  6. Step 6: Final answer
    x = 168,894.85

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.