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Finding the Third Proportional to 133,817 and 181,650

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Solution

The third proportional to 133,817 and 181,650 is: 246,580.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,817 : 181,650 = 181,650 : x
  2. Step 2: Convert to fraction form
    133,817/181,650 = 181,650/x
  3. Step 3: Cross multiply
    133,817x = 181,650 × 181,650
  4. Step 4: Simplify right side
    133,817x = 32,996,722,500
  5. Step 5: Solve for x
    x = 32,996,722,500/133,817
  6. Step 6: Final answer
    x = 246,580.95

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.