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Finding the Third Proportional to 51,104 and 112,048

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Solution

The third proportional to 51,104 and 112,048 is: 245,670.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,104 : 112,048 = 112,048 : x
  2. Step 2: Convert to fraction form
    51,104/112,048 = 112,048/x
  3. Step 3: Cross multiply
    51,104x = 112,048 × 112,048
  4. Step 4: Simplify right side
    51,104x = 12,554,754,304
  5. Step 5: Solve for x
    x = 12,554,754,304/51,104
  6. Step 6: Final answer
    x = 245,670.68

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.