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Finding the Third Proportional to 133,062 and 211,829

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Solution

The third proportional to 133,062 and 211,829 is: 337,222.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,062 : 211,829 = 211,829 : x
  2. Step 2: Convert to fraction form
    133,062/211,829 = 211,829/x
  3. Step 3: Cross multiply
    133,062x = 211,829 × 211,829
  4. Step 4: Simplify right side
    133,062x = 44,871,525,241
  5. Step 5: Solve for x
    x = 44,871,525,241/133,062
  6. Step 6: Final answer
    x = 337,222.69

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.