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Finding the Third Proportional to 62,965 and 95,054

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Solution

The third proportional to 62,965 and 95,054 is: 143,496.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,965 : 95,054 = 95,054 : x
  2. Step 2: Convert to fraction form
    62,965/95,054 = 95,054/x
  3. Step 3: Cross multiply
    62,965x = 95,054 × 95,054
  4. Step 4: Simplify right side
    62,965x = 9,035,262,916
  5. Step 5: Solve for x
    x = 9,035,262,916/62,965
  6. Step 6: Final answer
    x = 143,496.59

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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.