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Finding the Third Proportional to 74,811 and 111,959

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Solution

The third proportional to 74,811 and 111,959 is: 167,553.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,811 : 111,959 = 111,959 : x
  2. Step 2: Convert to fraction form
    74,811/111,959 = 111,959/x
  3. Step 3: Cross multiply
    74,811x = 111,959 × 111,959
  4. Step 4: Simplify right side
    74,811x = 12,534,817,681
  5. Step 5: Solve for x
    x = 12,534,817,681/74,811
  6. Step 6: Final answer
    x = 167,553.14

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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.