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Finding the Third Proportional to 94,543 and 201,600

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Solution

The third proportional to 94,543 and 201,600 is: 429,884.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,543 : 201,600 = 201,600 : x
  2. Step 2: Convert to fraction form
    94,543/201,600 = 201,600/x
  3. Step 3: Cross multiply
    94,543x = 201,600 × 201,600
  4. Step 4: Simplify right side
    94,543x = 40,642,560,000
  5. Step 5: Solve for x
    x = 40,642,560,000/94,543
  6. Step 6: Final answer
    x = 429,884.39

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.