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Finding the Third Proportional to 107,732 and 144,021

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Solution

The third proportional to 107,732 and 144,021 is: 192,533.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    107,732 : 144,021 = 144,021 : x
  2. Step 2: Convert to fraction form
    107,732/144,021 = 144,021/x
  3. Step 3: Cross multiply
    107,732x = 144,021 × 144,021
  4. Step 4: Simplify right side
    107,732x = 20,742,048,441
  5. Step 5: Solve for x
    x = 20,742,048,441/107,732
  6. Step 6: Final answer
    x = 192,533.77

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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.