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Finding the Third Proportional to 43,013 and 95,050

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Solution

The third proportional to 43,013 and 95,050 is: 210,041.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    43,013 : 95,050 = 95,050 : x
  2. Step 2: Convert to fraction form
    43,013/95,050 = 95,050/x
  3. Step 3: Cross multiply
    43,013x = 95,050 × 95,050
  4. Step 4: Simplify right side
    43,013x = 9,034,502,500
  5. Step 5: Solve for x
    x = 9,034,502,500/43,013
  6. Step 6: Final answer
    x = 210,041.21

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.