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Finding the Third Proportional to 73,615.50 and 159,003

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Solution

The third proportional to 73,615.50 and 159,003 is: 343,432.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,615.50 : 159,003 = 159,003 : x
  2. Step 2: Convert to fraction form
    73,615.50/159,003 = 159,003/x
  3. Step 3: Cross multiply
    73,615.50x = 159,003 × 159,003
  4. Step 4: Simplify right side
    73,615.50x = 25,281,954,009
  5. Step 5: Solve for x
    x = 25,281,954,009/73,615.50
  6. Step 6: Final answer
    x = 343,432.48

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.