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Finding the Third Proportional to 69,858 and 107,039

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Solution

The third proportional to 69,858 and 107,039 is: 164,009.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    69,858 : 107,039 = 107,039 : x
  2. Step 2: Convert to fraction form
    69,858/107,039 = 107,039/x
  3. Step 3: Cross multiply
    69,858x = 107,039 × 107,039
  4. Step 4: Simplify right side
    69,858x = 11,457,347,521
  5. Step 5: Solve for x
    x = 11,457,347,521/69,858
  6. Step 6: Final answer
    x = 164,009.10

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.