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Finding the Third Proportional to 114,378 and 173,511

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Solution

The third proportional to 114,378 and 173,511 is: 263,215.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    114,378 : 173,511 = 173,511 : x
  2. Step 2: Convert to fraction form
    114,378/173,511 = 173,511/x
  3. Step 3: Cross multiply
    114,378x = 173,511 × 173,511
  4. Step 4: Simplify right side
    114,378x = 30,106,067,121
  5. Step 5: Solve for x
    x = 30,106,067,121/114,378
  6. Step 6: Final answer
    x = 263,215.54

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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.