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Finding the Third Proportional to 101,451 and 146,130

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Solution

The third proportional to 101,451 and 146,130 is: 210,485.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    101,451 : 146,130 = 146,130 : x
  2. Step 2: Convert to fraction form
    101,451/146,130 = 146,130/x
  3. Step 3: Cross multiply
    101,451x = 146,130 × 146,130
  4. Step 4: Simplify right side
    101,451x = 21,353,976,900
  5. Step 5: Solve for x
    x = 21,353,976,900/101,451
  6. Step 6: Final answer
    x = 210,485.62

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Why These Related Problems?

These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.