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Finding the Third Proportional to 1,059 and 1,137

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Solution

The third proportional to 1,059 and 1,137 is: 1,220.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,059 : 1,137 = 1,137 : x
  2. Step 2: Convert to fraction form
    1,059/1,137 = 1,137/x
  3. Step 3: Cross multiply
    1,059x = 1,137 × 1,137
  4. Step 4: Simplify right side
    1,059x = 1,292,769
  5. Step 5: Solve for x
    x = 1,292,769/1,059
  6. Step 6: Final answer
    x = 1,220.75

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Why These Related Problems?

These problems maintain the same ratio (1.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.