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Finding the Third Proportional to 44,680 and 88,232

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Solution

The third proportional to 44,680 and 88,232 is: 174,236.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,680 : 88,232 = 88,232 : x
  2. Step 2: Convert to fraction form
    44,680/88,232 = 88,232/x
  3. Step 3: Cross multiply
    44,680x = 88,232 × 88,232
  4. Step 4: Simplify right side
    44,680x = 7,784,885,824
  5. Step 5: Solve for x
    x = 7,784,885,824/44,680
  6. Step 6: Final answer
    x = 174,236.48

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Why These Related Problems?

These problems maintain the same ratio (1.97) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.