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Finding the Third Proportional to 104,409 and 158,071.50

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Solution

The third proportional to 104,409 and 158,071.50 is: 239,314.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    104,409 : 158,071.50 = 158,071.50 : x
  2. Step 2: Convert to fraction form
    104,409/158,071.50 = 158,071.50/x
  3. Step 3: Cross multiply
    104,409x = 158,071.50 × 158,071.50
  4. Step 4: Simplify right side
    104,409x = 24,986,599,112.25
  5. Step 5: Solve for x
    x = 24,986,599,112.25/104,409
  6. Step 6: Final answer
    x = 239,314.61

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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.