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Finding the Third Proportional to 133,613 and 196,038

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Solution

The third proportional to 133,613 and 196,038 is: 287,628.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,613 : 196,038 = 196,038 : x
  2. Step 2: Convert to fraction form
    133,613/196,038 = 196,038/x
  3. Step 3: Cross multiply
    133,613x = 196,038 × 196,038
  4. Step 4: Simplify right side
    133,613x = 38,430,897,444
  5. Step 5: Solve for x
    x = 38,430,897,444/133,613
  6. Step 6: Final answer
    x = 287,628.43

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.