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Finding the Third Proportional to 64,980 and 95,164

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Solution

The third proportional to 64,980 and 95,164 is: 139,368.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    64,980 : 95,164 = 95,164 : x
  2. Step 2: Convert to fraction form
    64,980/95,164 = 95,164/x
  3. Step 3: Cross multiply
    64,980x = 95,164 × 95,164
  4. Step 4: Simplify right side
    64,980x = 9,056,186,896
  5. Step 5: Solve for x
    x = 9,056,186,896/64,980
  6. Step 6: Final answer
    x = 139,368.83

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.