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Finding the Third Proportional to 43,490 and 94,416

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Solution

The third proportional to 43,490 and 94,416 is: 204,975.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,490 : 94,416 = 94,416 : x
  2. Step 2: Convert to fraction form
    43,490/94,416 = 94,416/x
  3. Step 3: Cross multiply
    43,490x = 94,416 × 94,416
  4. Step 4: Simplify right side
    43,490x = 8,914,381,056
  5. Step 5: Solve for x
    x = 8,914,381,056/43,490
  6. Step 6: Final answer
    x = 204,975.42

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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.