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Finding the Third Proportional to 68,562 and 152,878

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Solution

The third proportional to 68,562 and 152,878 is: 340,883.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,562 : 152,878 = 152,878 : x
  2. Step 2: Convert to fraction form
    68,562/152,878 = 152,878/x
  3. Step 3: Cross multiply
    68,562x = 152,878 × 152,878
  4. Step 4: Simplify right side
    68,562x = 23,371,682,884
  5. Step 5: Solve for x
    x = 23,371,682,884/68,562
  6. Step 6: Final answer
    x = 340,883.91

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.