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Finding the Third Proportional to 43,420 and 94,454

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Solution

The third proportional to 43,420 and 94,454 is: 205,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,420 : 94,454 = 94,454 : x
  2. Step 2: Convert to fraction form
    43,420/94,454 = 94,454/x
  3. Step 3: Cross multiply
    43,420x = 94,454 × 94,454
  4. Step 4: Simplify right side
    43,420x = 8,921,558,116
  5. Step 5: Solve for x
    x = 8,921,558,116/43,420
  6. Step 6: Final answer
    x = 205,471.17

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.