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Finding the Third Proportional to 110,869 and 170,678

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Solution

The third proportional to 110,869 and 170,678 is: 262,751.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,869 : 170,678 = 170,678 : x
  2. Step 2: Convert to fraction form
    110,869/170,678 = 170,678/x
  3. Step 3: Cross multiply
    110,869x = 170,678 × 170,678
  4. Step 4: Simplify right side
    110,869x = 29,130,979,684
  5. Step 5: Solve for x
    x = 29,130,979,684/110,869
  6. Step 6: Final answer
    x = 262,751.35

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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.