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Finding the Third Proportional to 44,442 and 90,672

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Solution

The third proportional to 44,442 and 90,672 is: 184,991.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,442 : 90,672 = 90,672 : x
  2. Step 2: Convert to fraction form
    44,442/90,672 = 90,672/x
  3. Step 3: Cross multiply
    44,442x = 90,672 × 90,672
  4. Step 4: Simplify right side
    44,442x = 8,221,411,584
  5. Step 5: Solve for x
    x = 8,221,411,584/44,442
  6. Step 6: Final answer
    x = 184,991.94

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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.