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Finding the Third Proportional to 112,328 and 168,948

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Solution

The third proportional to 112,328 and 168,948 is: 254,107.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,328 : 168,948 = 168,948 : x
  2. Step 2: Convert to fraction form
    112,328/168,948 = 168,948/x
  3. Step 3: Cross multiply
    112,328x = 168,948 × 168,948
  4. Step 4: Simplify right side
    112,328x = 28,543,426,704
  5. Step 5: Solve for x
    x = 28,543,426,704/112,328
  6. Step 6: Final answer
    x = 254,107.85

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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.