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Finding the Third Proportional to 93,297.75 and 140,415

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Solution

The third proportional to 93,297.75 and 140,415 is: 211,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,297.75 : 140,415 = 140,415 : x
  2. Step 2: Convert to fraction form
    93,297.75/140,415 = 140,415/x
  3. Step 3: Cross multiply
    93,297.75x = 140,415 × 140,415
  4. Step 4: Simplify right side
    93,297.75x = 19,716,372,225
  5. Step 5: Solve for x
    x = 19,716,372,225/93,297.75
  6. Step 6: Final answer
    x = 211,327.41

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.