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Finding the Third Proportional to 44,132 and 90,280

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Solution

The third proportional to 44,132 and 90,280 is: 184,684.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,132 : 90,280 = 90,280 : x
  2. Step 2: Convert to fraction form
    44,132/90,280 = 90,280/x
  3. Step 3: Cross multiply
    44,132x = 90,280 × 90,280
  4. Step 4: Simplify right side
    44,132x = 8,150,478,400
  5. Step 5: Solve for x
    x = 8,150,478,400/44,132
  6. Step 6: Final answer
    x = 184,684.09

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.