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Finding the Third Proportional to 130,038 and 204,042

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Solution

The third proportional to 130,038 and 204,042 is: 320,161.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    130,038 : 204,042 = 204,042 : x
  2. Step 2: Convert to fraction form
    130,038/204,042 = 204,042/x
  3. Step 3: Cross multiply
    130,038x = 204,042 × 204,042
  4. Step 4: Simplify right side
    130,038x = 41,633,137,764
  5. Step 5: Solve for x
    x = 41,633,137,764/130,038
  6. Step 6: Final answer
    x = 320,161.32

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.