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Finding the Third Proportional to 96,348 and 136,951

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Solution

The third proportional to 96,348 and 136,951 is: 194,664.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,348 : 136,951 = 136,951 : x
  2. Step 2: Convert to fraction form
    96,348/136,951 = 136,951/x
  3. Step 3: Cross multiply
    96,348x = 136,951 × 136,951
  4. Step 4: Simplify right side
    96,348x = 18,755,576,401
  5. Step 5: Solve for x
    x = 18,755,576,401/96,348
  6. Step 6: Final answer
    x = 194,664.93

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.