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Finding the Third Proportional to 135,804 and 178,596

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Solution

The third proportional to 135,804 and 178,596 is: 234,871.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,804 : 178,596 = 178,596 : x
  2. Step 2: Convert to fraction form
    135,804/178,596 = 178,596/x
  3. Step 3: Cross multiply
    135,804x = 178,596 × 178,596
  4. Step 4: Simplify right side
    135,804x = 31,896,531,216
  5. Step 5: Solve for x
    x = 31,896,531,216/135,804
  6. Step 6: Final answer
    x = 234,871.81

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.