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Finding the Third Proportional to 133,069 and 202,144

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Solution

The third proportional to 133,069 and 202,144 is: 307,075.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,069 : 202,144 = 202,144 : x
  2. Step 2: Convert to fraction form
    133,069/202,144 = 202,144/x
  3. Step 3: Cross multiply
    133,069x = 202,144 × 202,144
  4. Step 4: Simplify right side
    133,069x = 40,862,196,736
  5. Step 5: Solve for x
    x = 40,862,196,736/133,069
  6. Step 6: Final answer
    x = 307,075.25

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.