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Finding the Third Proportional to 121,572 and 189,741

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Solution

The third proportional to 121,572 and 189,741 is: 296,134.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    121,572 : 189,741 = 189,741 : x
  2. Step 2: Convert to fraction form
    121,572/189,741 = 189,741/x
  3. Step 3: Cross multiply
    121,572x = 189,741 × 189,741
  4. Step 4: Simplify right side
    121,572x = 36,001,647,081
  5. Step 5: Solve for x
    x = 36,001,647,081/121,572
  6. Step 6: Final answer
    x = 296,134.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.