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Finding the Third Proportional to 43,506 and 94,194

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Solution

The third proportional to 43,506 and 94,194 is: 203,937.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,506 : 94,194 = 94,194 : x
  2. Step 2: Convert to fraction form
    43,506/94,194 = 94,194/x
  3. Step 3: Cross multiply
    43,506x = 94,194 × 94,194
  4. Step 4: Simplify right side
    43,506x = 8,872,509,636
  5. Step 5: Solve for x
    x = 8,872,509,636/43,506
  6. Step 6: Final answer
    x = 203,937.61

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.