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Finding the Third Proportional to 134.63 and 146.63

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Solution

The third proportional to 134.63 and 146.63 is: 159.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    134.63 : 146.63 = 146.63 : x
  2. Step 2: Convert to fraction form
    134.63/146.63 = 146.63/x
  3. Step 3: Cross multiply
    134.63x = 146.63 × 146.63
  4. Step 4: Simplify right side
    134.63x = 21,498.89
  5. Step 5: Solve for x
    x = 21,498.89/134.63
  6. Step 6: Final answer
    x = 159.69

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Why These Related Problems?

These problems maintain the same ratio (1.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.