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Finding the Third Proportional to 129,810 and 189,609

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Solution

The third proportional to 129,810 and 189,609 is: 276,955.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,810 : 189,609 = 189,609 : x
  2. Step 2: Convert to fraction form
    129,810/189,609 = 189,609/x
  3. Step 3: Cross multiply
    129,810x = 189,609 × 189,609
  4. Step 4: Simplify right side
    129,810x = 35,951,572,881
  5. Step 5: Solve for x
    x = 35,951,572,881/129,810
  6. Step 6: Final answer
    x = 276,955.34

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.