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Finding the Third Proportional to 133,926 and 181,888.50

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Solution

The third proportional to 133,926 and 181,888.50 is: 247,027.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,926 : 181,888.50 = 181,888.50 : x
  2. Step 2: Convert to fraction form
    133,926/181,888.50 = 181,888.50/x
  3. Step 3: Cross multiply
    133,926x = 181,888.50 × 181,888.50
  4. Step 4: Simplify right side
    133,926x = 33,083,426,432.25
  5. Step 5: Solve for x
    x = 33,083,426,432.25/133,926
  6. Step 6: Final answer
    x = 247,027.66

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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.