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Finding the Third Proportional to 72,114 and 96,463

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Solution

The third proportional to 72,114 and 96,463 is: 129,033.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    72,114 : 96,463 = 96,463 : x
  2. Step 2: Convert to fraction form
    72,114/96,463 = 96,463/x
  3. Step 3: Cross multiply
    72,114x = 96,463 × 96,463
  4. Step 4: Simplify right side
    72,114x = 9,305,110,369
  5. Step 5: Solve for x
    x = 9,305,110,369/72,114
  6. Step 6: Final answer
    x = 129,033.34

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.