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Finding the Third Proportional to 67,658 and 96,164

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Solution

The third proportional to 67,658 and 96,164 is: 136,680.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,658 : 96,164 = 96,164 : x
  2. Step 2: Convert to fraction form
    67,658/96,164 = 96,164/x
  3. Step 3: Cross multiply
    67,658x = 96,164 × 96,164
  4. Step 4: Simplify right side
    67,658x = 9,247,514,896
  5. Step 5: Solve for x
    x = 9,247,514,896/67,658
  6. Step 6: Final answer
    x = 136,680.29

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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.