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Finding the Third Proportional to 44,505 and 90,661.50

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Solution

The third proportional to 44,505 and 90,661.50 is: 184,687.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,505 : 90,661.50 = 90,661.50 : x
  2. Step 2: Convert to fraction form
    44,505/90,661.50 = 90,661.50/x
  3. Step 3: Cross multiply
    44,505x = 90,661.50 × 90,661.50
  4. Step 4: Simplify right side
    44,505x = 8,219,507,582.25
  5. Step 5: Solve for x
    x = 8,219,507,582.25/44,505
  6. Step 6: Final answer
    x = 184,687.28

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Why These Related Problems?

These problems maintain the same ratio (2.04) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.