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Finding the Third Proportional to 93,993.75 and 143,967.38

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Solution

The third proportional to 93,993.75 and 143,967.38 is: 220,510.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,993.75 : 143,967.38 = 143,967.38 : x
  2. Step 2: Convert to fraction form
    93,993.75/143,967.38 = 143,967.38/x
  3. Step 3: Cross multiply
    93,993.75x = 143,967.38 × 143,967.38
  4. Step 4: Simplify right side
    93,993.75x = 20,726,605,064.39
  5. Step 5: Solve for x
    x = 20,726,605,064.39/93,993.75
  6. Step 6: Final answer
    x = 220,510.46

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.