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Finding the Third Proportional to 133,924 and 181,885.50

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Solution

The third proportional to 133,924 and 181,885.50 is: 247,023.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,924 : 181,885.50 = 181,885.50 : x
  2. Step 2: Convert to fraction form
    133,924/181,885.50 = 181,885.50/x
  3. Step 3: Cross multiply
    133,924x = 181,885.50 × 181,885.50
  4. Step 4: Simplify right side
    133,924x = 33,082,335,110.25
  5. Step 5: Solve for x
    x = 33,082,335,110.25/133,924
  6. Step 6: Final answer
    x = 247,023.20

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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.