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Finding the Third Proportional to 107,734 and 144,024

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Solution

The third proportional to 107,734 and 144,024 is: 192,538.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,734 : 144,024 = 144,024 : x
  2. Step 2: Convert to fraction form
    107,734/144,024 = 144,024/x
  3. Step 3: Cross multiply
    107,734x = 144,024 × 144,024
  4. Step 4: Simplify right side
    107,734x = 20,742,912,576
  5. Step 5: Solve for x
    x = 20,742,912,576/107,734
  6. Step 6: Final answer
    x = 192,538.22

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.