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Finding the Third Proportional to 94,146 and 201,936

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Solution

The third proportional to 94,146 and 201,936 is: 433,137.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,146 : 201,936 = 201,936 : x
  2. Step 2: Convert to fraction form
    94,146/201,936 = 201,936/x
  3. Step 3: Cross multiply
    94,146x = 201,936 × 201,936
  4. Step 4: Simplify right side
    94,146x = 40,778,148,096
  5. Step 5: Solve for x
    x = 40,778,148,096/94,146
  6. Step 6: Final answer
    x = 433,137.34

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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.