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Finding the Third Proportional to 104,568 and 157,826.25

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Solution

The third proportional to 104,568 and 157,826.25 is: 238,209.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,568 : 157,826.25 = 157,826.25 : x
  2. Step 2: Convert to fraction form
    104,568/157,826.25 = 157,826.25/x
  3. Step 3: Cross multiply
    104,568x = 157,826.25 × 157,826.25
  4. Step 4: Simplify right side
    104,568x = 24,909,125,189.06
  5. Step 5: Solve for x
    x = 24,909,125,189.06/104,568
  6. Step 6: Final answer
    x = 238,209.83

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.