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Finding the Third Proportional to 74,092 and 111,146

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Solution

The third proportional to 74,092 and 111,146 is: 166,731.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,092 : 111,146 = 111,146 : x
  2. Step 2: Convert to fraction form
    74,092/111,146 = 111,146/x
  3. Step 3: Cross multiply
    74,092x = 111,146 × 111,146
  4. Step 4: Simplify right side
    74,092x = 12,353,433,316
  5. Step 5: Solve for x
    x = 12,353,433,316/74,092
  6. Step 6: Final answer
    x = 166,731.00

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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.