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Finding the Third Proportional to 64,978 and 97,895

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Solution

The third proportional to 64,978 and 97,895 is: 147,487.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,978 : 97,895 = 97,895 : x
  2. Step 2: Convert to fraction form
    64,978/97,895 = 97,895/x
  3. Step 3: Cross multiply
    64,978x = 97,895 × 97,895
  4. Step 4: Simplify right side
    64,978x = 9,583,431,025
  5. Step 5: Solve for x
    x = 9,583,431,025/64,978
  6. Step 6: Final answer
    x = 147,487.32

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.