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Finding the Third Proportional to 96,215 and 143,296

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Solution

The third proportional to 96,215 and 143,296 is: 213,415.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,215 : 143,296 = 143,296 : x
  2. Step 2: Convert to fraction form
    96,215/143,296 = 143,296/x
  3. Step 3: Cross multiply
    96,215x = 143,296 × 143,296
  4. Step 4: Simplify right side
    96,215x = 20,533,743,616
  5. Step 5: Solve for x
    x = 20,533,743,616/96,215
  6. Step 6: Final answer
    x = 213,415.20

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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.