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Finding the Third Proportional to 117.63 and 169.50

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Solution

The third proportional to 117.63 and 169.50 is: 244.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    117.63 : 169.50 = 169.50 : x
  2. Step 2: Convert to fraction form
    117.63/169.50 = 169.50/x
  3. Step 3: Cross multiply
    117.63x = 169.50 × 169.50
  4. Step 4: Simplify right side
    117.63x = 28,730.25
  5. Step 5: Solve for x
    x = 28,730.25/117.63
  6. Step 6: Final answer
    x = 244.25

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.