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Finding the Third Proportional to 133,914 and 181,666.50

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Solution

The third proportional to 133,914 and 181,666.50 is: 246,447.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,914 : 181,666.50 = 181,666.50 : x
  2. Step 2: Convert to fraction form
    133,914/181,666.50 = 181,666.50/x
  3. Step 3: Cross multiply
    133,914x = 181,666.50 × 181,666.50
  4. Step 4: Simplify right side
    133,914x = 33,002,717,222.25
  5. Step 5: Solve for x
    x = 33,002,717,222.25/133,914
  6. Step 6: Final answer
    x = 246,447.10

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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.