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Finding the Third Proportional to 73,117.50 and 159,456

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Solution

The third proportional to 73,117.50 and 159,456 is: 347,744.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,117.50 : 159,456 = 159,456 : x
  2. Step 2: Convert to fraction form
    73,117.50/159,456 = 159,456/x
  3. Step 3: Cross multiply
    73,117.50x = 159,456 × 159,456
  4. Step 4: Simplify right side
    73,117.50x = 25,426,215,936
  5. Step 5: Solve for x
    x = 25,426,215,936/73,117.50
  6. Step 6: Final answer
    x = 347,744.60

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.