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Finding the Third Proportional to 81,570 and 126,064

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Solution

The third proportional to 81,570 and 126,064 is: 194,828.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,570 : 126,064 = 126,064 : x
  2. Step 2: Convert to fraction form
    81,570/126,064 = 126,064/x
  3. Step 3: Cross multiply
    81,570x = 126,064 × 126,064
  4. Step 4: Simplify right side
    81,570x = 15,892,132,096
  5. Step 5: Solve for x
    x = 15,892,132,096/81,570
  6. Step 6: Final answer
    x = 194,828.15

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.