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Finding the Third Proportional to 112,325 and 168,943.50

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Solution

The third proportional to 112,325 and 168,943.50 is: 254,101.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,325 : 168,943.50 = 168,943.50 : x
  2. Step 2: Convert to fraction form
    112,325/168,943.50 = 168,943.50/x
  3. Step 3: Cross multiply
    112,325x = 168,943.50 × 168,943.50
  4. Step 4: Simplify right side
    112,325x = 28,541,906,192.25
  5. Step 5: Solve for x
    x = 28,541,906,192.25/112,325
  6. Step 6: Final answer
    x = 254,101.10

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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.