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Finding the Third Proportional to 46,269 and 67,419

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Solution

The third proportional to 46,269 and 67,419 is: 98,236.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    46,269 : 67,419 = 67,419 : x
  2. Step 2: Convert to fraction form
    46,269/67,419 = 67,419/x
  3. Step 3: Cross multiply
    46,269x = 67,419 × 67,419
  4. Step 4: Simplify right side
    46,269x = 4,545,321,561
  5. Step 5: Solve for x
    x = 4,545,321,561/46,269
  6. Step 6: Final answer
    x = 98,236.87

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.