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Finding the Third Proportional to 114,656 and 173,718

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Solution

The third proportional to 114,656 and 173,718 is: 263,204.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,656 : 173,718 = 173,718 : x
  2. Step 2: Convert to fraction form
    114,656/173,718 = 173,718/x
  3. Step 3: Cross multiply
    114,656x = 173,718 × 173,718
  4. Step 4: Simplify right side
    114,656x = 30,177,943,524
  5. Step 5: Solve for x
    x = 30,177,943,524/114,656
  6. Step 6: Final answer
    x = 263,204.22

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.