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Finding the Third Proportional to 94,559 and 201,634

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Solution

The third proportional to 94,559 and 201,634 is: 429,956.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,559 : 201,634 = 201,634 : x
  2. Step 2: Convert to fraction form
    94,559/201,634 = 201,634/x
  3. Step 3: Cross multiply
    94,559x = 201,634 × 201,634
  4. Step 4: Simplify right side
    94,559x = 40,656,269,956
  5. Step 5: Solve for x
    x = 40,656,269,956/94,559
  6. Step 6: Final answer
    x = 429,956.64

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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.