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Finding the Third Proportional to 46.75 and 123.13

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Solution

The third proportional to 46.75 and 123.13 is: 324.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.75 : 123.13 = 123.13 : x
  2. Step 2: Convert to fraction form
    46.75/123.13 = 123.13/x
  3. Step 3: Cross multiply
    46.75x = 123.13 × 123.13
  4. Step 4: Simplify right side
    46.75x = 15,159.77
  5. Step 5: Solve for x
    x = 15,159.77/46.75
  6. Step 6: Final answer
    x = 324.27

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Why These Related Problems?

These problems maintain the same ratio (2.63) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.