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Finding the Third Proportional to 74,778 and 165,102

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Solution

The third proportional to 74,778 and 165,102 is: 364,527.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    74,778 : 165,102 = 165,102 : x
  2. Step 2: Convert to fraction form
    74,778/165,102 = 165,102/x
  3. Step 3: Cross multiply
    74,778x = 165,102 × 165,102
  4. Step 4: Simplify right side
    74,778x = 27,258,670,404
  5. Step 5: Solve for x
    x = 27,258,670,404/74,778
  6. Step 6: Final answer
    x = 364,527.94

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.