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Finding the Third Proportional to 96,146 and 131,905

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Solution

The third proportional to 96,146 and 131,905 is: 180,963.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    96,146 : 131,905 = 131,905 : x
  2. Step 2: Convert to fraction form
    96,146/131,905 = 131,905/x
  3. Step 3: Cross multiply
    96,146x = 131,905 × 131,905
  4. Step 4: Simplify right side
    96,146x = 17,398,929,025
  5. Step 5: Solve for x
    x = 17,398,929,025/96,146
  6. Step 6: Final answer
    x = 180,963.63

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.