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Finding the Third Proportional to 70,078 and 111,562

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Solution

The third proportional to 70,078 and 111,562 is: 177,603.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,078 : 111,562 = 111,562 : x
  2. Step 2: Convert to fraction form
    70,078/111,562 = 111,562/x
  3. Step 3: Cross multiply
    70,078x = 111,562 × 111,562
  4. Step 4: Simplify right side
    70,078x = 12,446,079,844
  5. Step 5: Solve for x
    x = 12,446,079,844/70,078
  6. Step 6: Final answer
    x = 177,603.24

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.