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Finding the Third Proportional to 114,194 and 175,659

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Solution

The third proportional to 114,194 and 175,659 is: 270,207.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,194 : 175,659 = 175,659 : x
  2. Step 2: Convert to fraction form
    114,194/175,659 = 175,659/x
  3. Step 3: Cross multiply
    114,194x = 175,659 × 175,659
  4. Step 4: Simplify right side
    114,194x = 30,856,084,281
  5. Step 5: Solve for x
    x = 30,856,084,281/114,194
  6. Step 6: Final answer
    x = 270,207.58

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.