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Finding the Third Proportional to 86,674 and 133,038

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Solution

The third proportional to 86,674 and 133,038 is: 204,203.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,674 : 133,038 = 133,038 : x
  2. Step 2: Convert to fraction form
    86,674/133,038 = 133,038/x
  3. Step 3: Cross multiply
    86,674x = 133,038 × 133,038
  4. Step 4: Simplify right side
    86,674x = 17,699,109,444
  5. Step 5: Solve for x
    x = 17,699,109,444/86,674
  6. Step 6: Final answer
    x = 204,203.21

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.