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Finding the Third Proportional to 69,450 and 107,058

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Solution

The third proportional to 69,450 and 107,058 is: 165,031.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,450 : 107,058 = 107,058 : x
  2. Step 2: Convert to fraction form
    69,450/107,058 = 107,058/x
  3. Step 3: Cross multiply
    69,450x = 107,058 × 107,058
  4. Step 4: Simplify right side
    69,450x = 11,461,415,364
  5. Step 5: Solve for x
    x = 11,461,415,364/69,450
  6. Step 6: Final answer
    x = 165,031.18

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.