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Finding the Third Proportional to 94,073 and 201,239

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Solution

The third proportional to 94,073 and 201,239 is: 430,486.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    94,073 : 201,239 = 201,239 : x
  2. Step 2: Convert to fraction form
    94,073/201,239 = 201,239/x
  3. Step 3: Cross multiply
    94,073x = 201,239 × 201,239
  4. Step 4: Simplify right side
    94,073x = 40,497,135,121
  5. Step 5: Solve for x
    x = 40,497,135,121/94,073
  6. Step 6: Final answer
    x = 430,486.27

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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.