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Finding the Third Proportional to 103,635 and 164,797

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Solution

The third proportional to 103,635 and 164,797 is: 262,054.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,635 : 164,797 = 164,797 : x
  2. Step 2: Convert to fraction form
    103,635/164,797 = 164,797/x
  3. Step 3: Cross multiply
    103,635x = 164,797 × 164,797
  4. Step 4: Simplify right side
    103,635x = 27,158,051,209
  5. Step 5: Solve for x
    x = 27,158,051,209/103,635
  6. Step 6: Final answer
    x = 262,054.82

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.