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Finding the Third Proportional to 44,168 and 94,648

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Solution

The third proportional to 44,168 and 94,648 is: 202,822.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,168 : 94,648 = 94,648 : x
  2. Step 2: Convert to fraction form
    44,168/94,648 = 94,648/x
  3. Step 3: Cross multiply
    44,168x = 94,648 × 94,648
  4. Step 4: Simplify right side
    44,168x = 8,958,243,904
  5. Step 5: Solve for x
    x = 8,958,243,904/44,168
  6. Step 6: Final answer
    x = 202,822.04

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.