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Finding the Third Proportional to 46,054 and 68,797

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Solution

The third proportional to 46,054 and 68,797 is: 102,771.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,054 : 68,797 = 68,797 : x
  2. Step 2: Convert to fraction form
    46,054/68,797 = 68,797/x
  3. Step 3: Cross multiply
    46,054x = 68,797 × 68,797
  4. Step 4: Simplify right side
    46,054x = 4,733,027,209
  5. Step 5: Solve for x
    x = 4,733,027,209/46,054
  6. Step 6: Final answer
    x = 102,771.25

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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.