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Finding the Third Proportional to 105,187 and 158,872.50

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Solution

The third proportional to 105,187 and 158,872.50 is: 239,958.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,187 : 158,872.50 = 158,872.50 : x
  2. Step 2: Convert to fraction form
    105,187/158,872.50 = 158,872.50/x
  3. Step 3: Cross multiply
    105,187x = 158,872.50 × 158,872.50
  4. Step 4: Simplify right side
    105,187x = 25,240,471,256.25
  5. Step 5: Solve for x
    x = 25,240,471,256.25/105,187
  6. Step 6: Final answer
    x = 239,958.09

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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.