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Finding the Third Proportional to 67,036 and 165,286

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Solution

The third proportional to 67,036 and 165,286 is: 407,534.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,036 : 165,286 = 165,286 : x
  2. Step 2: Convert to fraction form
    67,036/165,286 = 165,286/x
  3. Step 3: Cross multiply
    67,036x = 165,286 × 165,286
  4. Step 4: Simplify right side
    67,036x = 27,319,461,796
  5. Step 5: Solve for x
    x = 27,319,461,796/67,036
  6. Step 6: Final answer
    x = 407,534.19

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Why These Related Problems?

These problems maintain the same ratio (2.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.