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Finding the Third Proportional to 38,378 and 85,678

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Solution

The third proportional to 38,378 and 85,678 is: 191,274.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,378 : 85,678 = 85,678 : x
  2. Step 2: Convert to fraction form
    38,378/85,678 = 85,678/x
  3. Step 3: Cross multiply
    38,378x = 85,678 × 85,678
  4. Step 4: Simplify right side
    38,378x = 7,340,719,684
  5. Step 5: Solve for x
    x = 7,340,719,684/38,378
  6. Step 6: Final answer
    x = 191,274.16

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.