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Finding the Third Proportional to 107,126 and 204,532

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Solution

The third proportional to 107,126 and 204,532 is: 390,505.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,126 : 204,532 = 204,532 : x
  2. Step 2: Convert to fraction form
    107,126/204,532 = 204,532/x
  3. Step 3: Cross multiply
    107,126x = 204,532 × 204,532
  4. Step 4: Simplify right side
    107,126x = 41,833,339,024
  5. Step 5: Solve for x
    x = 41,833,339,024/107,126
  6. Step 6: Final answer
    x = 390,505.94

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Why These Related Problems?

These problems maintain the same ratio (1.91) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.