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Finding the Third Proportional to 40,378 and 86,278

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Solution

The third proportional to 40,378 and 86,278 is: 184,355.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    40,378 : 86,278 = 86,278 : x
  2. Step 2: Convert to fraction form
    40,378/86,278 = 86,278/x
  3. Step 3: Cross multiply
    40,378x = 86,278 × 86,278
  4. Step 4: Simplify right side
    40,378x = 7,443,893,284
  5. Step 5: Solve for x
    x = 7,443,893,284/40,378
  6. Step 6: Final answer
    x = 184,355.18

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.