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Finding the Third Proportional to 95,064 and 132,913

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Solution

The third proportional to 95,064 and 132,913 is: 185,831.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    95,064 : 132,913 = 132,913 : x
  2. Step 2: Convert to fraction form
    95,064/132,913 = 132,913/x
  3. Step 3: Cross multiply
    95,064x = 132,913 × 132,913
  4. Step 4: Simplify right side
    95,064x = 17,665,865,569
  5. Step 5: Solve for x
    x = 17,665,865,569/95,064
  6. Step 6: Final answer
    x = 185,831.29

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.