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Finding the Third Proportional to 43,146 and 67,696

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Solution

The third proportional to 43,146 and 67,696 is: 106,214.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,146 : 67,696 = 67,696 : x
  2. Step 2: Convert to fraction form
    43,146/67,696 = 67,696/x
  3. Step 3: Cross multiply
    43,146x = 67,696 × 67,696
  4. Step 4: Simplify right side
    43,146x = 4,582,748,416
  5. Step 5: Solve for x
    x = 4,582,748,416/43,146
  6. Step 6: Final answer
    x = 106,214.91

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.