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Finding the Third Proportional to 38,215.50 and 78,131.63

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Solution

The third proportional to 38,215.50 and 78,131.63 is: 159,740.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,215.50 : 78,131.63 = 78,131.63 : x
  2. Step 2: Convert to fraction form
    38,215.50/78,131.63 = 78,131.63/x
  3. Step 3: Cross multiply
    38,215.50x = 78,131.63 × 78,131.63
  4. Step 4: Simplify right side
    38,215.50x = 6,104,550,825.14
  5. Step 5: Solve for x
    x = 6,104,550,825.14/38,215.50
  6. Step 6: Final answer
    x = 159,740.18

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These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.