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Finding the Third Proportional to 94,021 and 201,148

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Solution

The third proportional to 94,021 and 201,148 is: 430,334.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,021 : 201,148 = 201,148 : x
  2. Step 2: Convert to fraction form
    94,021/201,148 = 201,148/x
  3. Step 3: Cross multiply
    94,021x = 201,148 × 201,148
  4. Step 4: Simplify right side
    94,021x = 40,460,517,904
  5. Step 5: Solve for x
    x = 40,460,517,904/94,021
  6. Step 6: Final answer
    x = 430,334.90

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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.