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Finding the Third Proportional to 64,989 and 103,398

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Solution

The third proportional to 64,989 and 103,398 is: 164,507.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,989 : 103,398 = 103,398 : x
  2. Step 2: Convert to fraction form
    64,989/103,398 = 103,398/x
  3. Step 3: Cross multiply
    64,989x = 103,398 × 103,398
  4. Step 4: Simplify right side
    64,989x = 10,691,146,404
  5. Step 5: Solve for x
    x = 10,691,146,404/64,989
  6. Step 6: Final answer
    x = 164,507.02

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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.