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Finding the Third Proportional to 127,224 and 168,216

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Solution

The third proportional to 127,224 and 168,216 is: 222,415.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,224 : 168,216 = 168,216 : x
  2. Step 2: Convert to fraction form
    127,224/168,216 = 168,216/x
  3. Step 3: Cross multiply
    127,224x = 168,216 × 168,216
  4. Step 4: Simplify right side
    127,224x = 28,296,622,656
  5. Step 5: Solve for x
    x = 28,296,622,656/127,224
  6. Step 6: Final answer
    x = 222,415.76

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Why These Related Problems?

These problems maintain the same ratio (1.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.