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Finding the Third Proportional to 94,079 and 201,105

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Solution

The third proportional to 94,079 and 201,105 is: 429,885.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,079 : 201,105 = 201,105 : x
  2. Step 2: Convert to fraction form
    94,079/201,105 = 201,105/x
  3. Step 3: Cross multiply
    94,079x = 201,105 × 201,105
  4. Step 4: Simplify right side
    94,079x = 40,443,221,025
  5. Step 5: Solve for x
    x = 40,443,221,025/94,079
  6. Step 6: Final answer
    x = 429,885.75

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.