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Finding the Third Proportional to 96,352.50 and 143,997

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Solution

The third proportional to 96,352.50 and 143,997 is: 215,200.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,352.50 : 143,997 = 143,997 : x
  2. Step 2: Convert to fraction form
    96,352.50/143,997 = 143,997/x
  3. Step 3: Cross multiply
    96,352.50x = 143,997 × 143,997
  4. Step 4: Simplify right side
    96,352.50x = 20,735,136,009
  5. Step 5: Solve for x
    x = 20,735,136,009/96,352.50
  6. Step 6: Final answer
    x = 215,200.81

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.