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Finding the Third Proportional to 70,203 and 154,014

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Solution

The third proportional to 70,203 and 154,014 is: 337,881.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    70,203 : 154,014 = 154,014 : x
  2. Step 2: Convert to fraction form
    70,203/154,014 = 154,014/x
  3. Step 3: Cross multiply
    70,203x = 154,014 × 154,014
  4. Step 4: Simplify right side
    70,203x = 23,720,312,196
  5. Step 5: Solve for x
    x = 23,720,312,196/70,203
  6. Step 6: Final answer
    x = 337,881.75

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.