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Finding the Third Proportional to 46.59 and 106.78

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Solution

The third proportional to 46.59 and 106.78 is: 244.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    46.59 : 106.78 = 106.78 : x
  2. Step 2: Convert to fraction form
    46.59/106.78 = 106.78/x
  3. Step 3: Cross multiply
    46.59x = 106.78 × 106.78
  4. Step 4: Simplify right side
    46.59x = 11,402.24
  5. Step 5: Solve for x
    x = 11,402.24/46.59
  6. Step 6: Final answer
    x = 244.72

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Why These Related Problems?

These problems maintain the same ratio (2.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.