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Finding the Third Proportional to 67,239 and 144,852

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Solution

The third proportional to 67,239 and 144,852 is: 312,052.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,239 : 144,852 = 144,852 : x
  2. Step 2: Convert to fraction form
    67,239/144,852 = 144,852/x
  3. Step 3: Cross multiply
    67,239x = 144,852 × 144,852
  4. Step 4: Simplify right side
    67,239x = 20,982,101,904
  5. Step 5: Solve for x
    x = 20,982,101,904/67,239
  6. Step 6: Final answer
    x = 312,052.56

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.