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Finding the Third Proportional to 44,064 and 93,151

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Solution

The third proportional to 44,064 and 93,151 is: 196,920.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    44,064 : 93,151 = 93,151 : x
  2. Step 2: Convert to fraction form
    44,064/93,151 = 93,151/x
  3. Step 3: Cross multiply
    44,064x = 93,151 × 93,151
  4. Step 4: Simplify right side
    44,064x = 8,677,108,801
  5. Step 5: Solve for x
    x = 8,677,108,801/44,064
  6. Step 6: Final answer
    x = 196,920.59

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.