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Finding the Third Proportional to 46,056 and 68,799

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Solution

The third proportional to 46,056 and 68,799 is: 102,772.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,056 : 68,799 = 68,799 : x
  2. Step 2: Convert to fraction form
    46,056/68,799 = 68,799/x
  3. Step 3: Cross multiply
    46,056x = 68,799 × 68,799
  4. Step 4: Simplify right side
    46,056x = 4,733,302,401
  5. Step 5: Solve for x
    x = 4,733,302,401/46,056
  6. Step 6: Final answer
    x = 102,772.76

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.