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Finding the Third Proportional to 120,970 and 181,576

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Solution

The third proportional to 120,970 and 181,576 is: 272,545.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    120,970 : 181,576 = 181,576 : x
  2. Step 2: Convert to fraction form
    120,970/181,576 = 181,576/x
  3. Step 3: Cross multiply
    120,970x = 181,576 × 181,576
  4. Step 4: Simplify right side
    120,970x = 32,969,843,776
  5. Step 5: Solve for x
    x = 32,969,843,776/120,970
  6. Step 6: Final answer
    x = 272,545.62

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.