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Finding the Third Proportional to 42,568 and 92,596

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Solution

The third proportional to 42,568 and 92,596 is: 201,419.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,568 : 92,596 = 92,596 : x
  2. Step 2: Convert to fraction form
    42,568/92,596 = 92,596/x
  3. Step 3: Cross multiply
    42,568x = 92,596 × 92,596
  4. Step 4: Simplify right side
    42,568x = 8,574,019,216
  5. Step 5: Solve for x
    x = 8,574,019,216/42,568
  6. Step 6: Final answer
    x = 201,419.36

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.