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Finding the Third Proportional to 127,154 and 276,158

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Solution

The third proportional to 127,154 and 276,158 is: 599,770.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,154 : 276,158 = 276,158 : x
  2. Step 2: Convert to fraction form
    127,154/276,158 = 276,158/x
  3. Step 3: Cross multiply
    127,154x = 276,158 × 276,158
  4. Step 4: Simplify right side
    127,154x = 76,263,240,964
  5. Step 5: Solve for x
    x = 76,263,240,964/127,154
  6. Step 6: Final answer
    x = 599,770.68

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.