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Finding the Third Proportional to 82,028 and 126,732

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Solution

The third proportional to 82,028 and 126,732 is: 195,798.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,028 : 126,732 = 126,732 : x
  2. Step 2: Convert to fraction form
    82,028/126,732 = 126,732/x
  3. Step 3: Cross multiply
    82,028x = 126,732 × 126,732
  4. Step 4: Simplify right side
    82,028x = 16,060,999,824
  5. Step 5: Solve for x
    x = 16,060,999,824/82,028
  6. Step 6: Final answer
    x = 195,798.99

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.