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Finding the Third Proportional to 133,610 and 213,050

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Solution

The third proportional to 133,610 and 213,050 is: 339,722.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    133,610 : 213,050 = 213,050 : x
  2. Step 2: Convert to fraction form
    133,610/213,050 = 213,050/x
  3. Step 3: Cross multiply
    133,610x = 213,050 × 213,050
  4. Step 4: Simplify right side
    133,610x = 45,390,302,500
  5. Step 5: Solve for x
    x = 45,390,302,500/133,610
  6. Step 6: Final answer
    x = 339,722.34

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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.