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Finding the Third Proportional to 46,268 and 71,134

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Solution

The third proportional to 46,268 and 71,134 is: 109,363.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,268 : 71,134 = 71,134 : x
  2. Step 2: Convert to fraction form
    46,268/71,134 = 71,134/x
  3. Step 3: Cross multiply
    46,268x = 71,134 × 71,134
  4. Step 4: Simplify right side
    46,268x = 5,060,045,956
  5. Step 5: Solve for x
    x = 5,060,045,956/46,268
  6. Step 6: Final answer
    x = 109,363.84

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.