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Finding the Third Proportional to 70,009 and 107,606

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Solution

The third proportional to 70,009 and 107,606 is: 165,393.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,009 : 107,606 = 107,606 : x
  2. Step 2: Convert to fraction form
    70,009/107,606 = 107,606/x
  3. Step 3: Cross multiply
    70,009x = 107,606 × 107,606
  4. Step 4: Simplify right side
    70,009x = 11,579,051,236
  5. Step 5: Solve for x
    x = 11,579,051,236/70,009
  6. Step 6: Final answer
    x = 165,393.75

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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.