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Finding the Third Proportional to 59,823 and 92,895

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Solution

The third proportional to 59,823 and 92,895 is: 144,250.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,823 : 92,895 = 92,895 : x
  2. Step 2: Convert to fraction form
    59,823/92,895 = 92,895/x
  3. Step 3: Cross multiply
    59,823x = 92,895 × 92,895
  4. Step 4: Simplify right side
    59,823x = 8,629,481,025
  5. Step 5: Solve for x
    x = 8,629,481,025/59,823
  6. Step 6: Final answer
    x = 144,250.22

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.