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Finding the Third Proportional to 103,734 and 164,673

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Solution

The third proportional to 103,734 and 164,673 is: 261,410.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,734 : 164,673 = 164,673 : x
  2. Step 2: Convert to fraction form
    103,734/164,673 = 164,673/x
  3. Step 3: Cross multiply
    103,734x = 164,673 × 164,673
  4. Step 4: Simplify right side
    103,734x = 27,117,196,929
  5. Step 5: Solve for x
    x = 27,117,196,929/103,734
  6. Step 6: Final answer
    x = 261,410.89

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