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Finding the Third Proportional to 46,108 and 67,144

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Solution

The third proportional to 46,108 and 67,144 is: 97,777.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,108 : 67,144 = 67,144 : x
  2. Step 2: Convert to fraction form
    46,108/67,144 = 67,144/x
  3. Step 3: Cross multiply
    46,108x = 67,144 × 67,144
  4. Step 4: Simplify right side
    46,108x = 4,508,316,736
  5. Step 5: Solve for x
    x = 4,508,316,736/46,108
  6. Step 6: Final answer
    x = 97,777.32

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.