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Finding the Third Proportional to 127 and 133

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Solution

The third proportional to 127 and 133 is: 139.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    127 : 133 = 133 : x
  2. Step 2: Convert to fraction form
    127/133 = 133/x
  3. Step 3: Cross multiply
    127x = 133 × 133
  4. Step 4: Simplify right side
    127x = 17,689
  5. Step 5: Solve for x
    x = 17,689/127
  6. Step 6: Final answer
    x = 139.28

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Why These Related Problems?

These problems maintain the same ratio (1.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.