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Finding the Third Proportional to 43,406 and 92,143

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Solution

The third proportional to 43,406 and 92,143 is: 195,602.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,406 : 92,143 = 92,143 : x
  2. Step 2: Convert to fraction form
    43,406/92,143 = 92,143/x
  3. Step 3: Cross multiply
    43,406x = 92,143 × 92,143
  4. Step 4: Simplify right side
    43,406x = 8,490,332,449
  5. Step 5: Solve for x
    x = 8,490,332,449/43,406
  6. Step 6: Final answer
    x = 195,602.74

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.