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Finding the Third Proportional to 1,120.55 and 1,223.07

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Solution

The third proportional to 1,120.55 and 1,223.07 is: 1,334.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,120.55 : 1,223.07 = 1,223.07 : x
  2. Step 2: Convert to fraction form
    1,120.55/1,223.07 = 1,223.07/x
  3. Step 3: Cross multiply
    1,120.55x = 1,223.07 × 1,223.07
  4. Step 4: Simplify right side
    1,120.55x = 1,495,896.21
  5. Step 5: Solve for x
    x = 1,495,896.21/1,120.55
  6. Step 6: Final answer
    x = 1,334.96

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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.