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Finding the Third Proportional to 114,046 and 164,278

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Solution

The third proportional to 114,046 and 164,278 is: 236,634.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,046 : 164,278 = 164,278 : x
  2. Step 2: Convert to fraction form
    114,046/164,278 = 164,278/x
  3. Step 3: Cross multiply
    114,046x = 164,278 × 164,278
  4. Step 4: Simplify right side
    114,046x = 26,987,261,284
  5. Step 5: Solve for x
    x = 26,987,261,284/114,046
  6. Step 6: Final answer
    x = 236,634.88

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.