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Finding the Third Proportional to 112,290 and 168,892

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Solution

The third proportional to 112,290 and 168,892 is: 254,025.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,290 : 168,892 = 168,892 : x
  2. Step 2: Convert to fraction form
    112,290/168,892 = 168,892/x
  3. Step 3: Cross multiply
    112,290x = 168,892 × 168,892
  4. Step 4: Simplify right side
    112,290x = 28,524,507,664
  5. Step 5: Solve for x
    x = 28,524,507,664/112,290
  6. Step 6: Final answer
    x = 254,025.36

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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.