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Finding the Third Proportional to 94,494 and 136,151

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Solution

The third proportional to 94,494 and 136,151 is: 196,172.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,494 : 136,151 = 136,151 : x
  2. Step 2: Convert to fraction form
    94,494/136,151 = 136,151/x
  3. Step 3: Cross multiply
    94,494x = 136,151 × 136,151
  4. Step 4: Simplify right side
    94,494x = 18,537,094,801
  5. Step 5: Solve for x
    x = 18,537,094,801/94,494
  6. Step 6: Final answer
    x = 196,172.19

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.