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Finding the Third Proportional to 64,993 and 103,404

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Solution

The third proportional to 64,993 and 103,404 is: 164,515.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,993 : 103,404 = 103,404 : x
  2. Step 2: Convert to fraction form
    64,993/103,404 = 103,404/x
  3. Step 3: Cross multiply
    64,993x = 103,404 × 103,404
  4. Step 4: Simplify right side
    64,993x = 10,692,387,216
  5. Step 5: Solve for x
    x = 10,692,387,216/64,993
  6. Step 6: Final answer
    x = 164,515.98

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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.