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Finding the Third Proportional to 51,946 and 113,498

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Solution

The third proportional to 51,946 and 113,498 is: 247,984.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,946 : 113,498 = 113,498 : x
  2. Step 2: Convert to fraction form
    51,946/113,498 = 113,498/x
  3. Step 3: Cross multiply
    51,946x = 113,498 × 113,498
  4. Step 4: Simplify right side
    51,946x = 12,881,796,004
  5. Step 5: Solve for x
    x = 12,881,796,004/51,946
  6. Step 6: Final answer
    x = 247,984.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.