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Finding the Third Proportional to 94,232 and 132,064

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Solution

The third proportional to 94,232 and 132,064 is: 185,084.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,232 : 132,064 = 132,064 : x
  2. Step 2: Convert to fraction form
    94,232/132,064 = 132,064/x
  3. Step 3: Cross multiply
    94,232x = 132,064 × 132,064
  4. Step 4: Simplify right side
    94,232x = 17,440,900,096
  5. Step 5: Solve for x
    x = 17,440,900,096/94,232
  6. Step 6: Final answer
    x = 185,084.69

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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.