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Finding the Third Proportional to 51,419 and 79,463

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Solution

The third proportional to 51,419 and 79,463 is: 122,802.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,419 : 79,463 = 79,463 : x
  2. Step 2: Convert to fraction form
    51,419/79,463 = 79,463/x
  3. Step 3: Cross multiply
    51,419x = 79,463 × 79,463
  4. Step 4: Simplify right side
    51,419x = 6,314,368,369
  5. Step 5: Solve for x
    x = 6,314,368,369/51,419
  6. Step 6: Final answer
    x = 122,802.24

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.