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Finding the Third Proportional to 127,424 and 196,024

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Solution

The third proportional to 127,424 and 196,024 is: 301,555.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    127,424 : 196,024 = 196,024 : x
  2. Step 2: Convert to fraction form
    127,424/196,024 = 196,024/x
  3. Step 3: Cross multiply
    127,424x = 196,024 × 196,024
  4. Step 4: Simplify right side
    127,424x = 38,425,408,576
  5. Step 5: Solve for x
    x = 38,425,408,576/127,424
  6. Step 6: Final answer
    x = 301,555.50

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.