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Finding the Third Proportional to 46,268 and 65,516

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Solution

The third proportional to 46,268 and 65,516 is: 92,771.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,268 : 65,516 = 65,516 : x
  2. Step 2: Convert to fraction form
    46,268/65,516 = 65,516/x
  3. Step 3: Cross multiply
    46,268x = 65,516 × 65,516
  4. Step 4: Simplify right side
    46,268x = 4,292,346,256
  5. Step 5: Solve for x
    x = 4,292,346,256/46,268
  6. Step 6: Final answer
    x = 92,771.38

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Why These Related Problems?

These problems maintain the same ratio (1.42) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.