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Finding the Third Proportional to 70,102 and 150,044

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Solution

The third proportional to 70,102 and 150,044 is: 321,149.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,102 : 150,044 = 150,044 : x
  2. Step 2: Convert to fraction form
    70,102/150,044 = 150,044/x
  3. Step 3: Cross multiply
    70,102x = 150,044 × 150,044
  4. Step 4: Simplify right side
    70,102x = 22,513,201,936
  5. Step 5: Solve for x
    x = 22,513,201,936/70,102
  6. Step 6: Final answer
    x = 321,149.21

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.