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Finding the Third Proportional to 133,042 and 199,038

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Solution

The third proportional to 133,042 and 199,038 is: 297,771.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,042 : 199,038 = 199,038 : x
  2. Step 2: Convert to fraction form
    133,042/199,038 = 199,038/x
  3. Step 3: Cross multiply
    133,042x = 199,038 × 199,038
  4. Step 4: Simplify right side
    133,042x = 39,616,125,444
  5. Step 5: Solve for x
    x = 39,616,125,444/133,042
  6. Step 6: Final answer
    x = 297,771.57

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.