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Finding the Third Proportional to 70,036 and 105,250

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Solution

The third proportional to 70,036 and 105,250 is: 158,169.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,036 : 105,250 = 105,250 : x
  2. Step 2: Convert to fraction form
    70,036/105,250 = 105,250/x
  3. Step 3: Cross multiply
    70,036x = 105,250 × 105,250
  4. Step 4: Simplify right side
    70,036x = 11,077,562,500
  5. Step 5: Solve for x
    x = 11,077,562,500/70,036
  6. Step 6: Final answer
    x = 158,169.55

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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.