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Finding the Third Proportional to 94,058 and 127,599

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Solution

The third proportional to 94,058 and 127,599 is: 173,100.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,058 : 127,599 = 127,599 : x
  2. Step 2: Convert to fraction form
    94,058/127,599 = 127,599/x
  3. Step 3: Cross multiply
    94,058x = 127,599 × 127,599
  4. Step 4: Simplify right side
    94,058x = 16,281,504,801
  5. Step 5: Solve for x
    x = 16,281,504,801/94,058
  6. Step 6: Final answer
    x = 173,100.69

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Why These Related Problems?

These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.