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Finding the Third Proportional to 129,606 and 277,176

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Solution

The third proportional to 129,606 and 277,176 is: 592,769.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,606 : 277,176 = 277,176 : x
  2. Step 2: Convert to fraction form
    129,606/277,176 = 277,176/x
  3. Step 3: Cross multiply
    129,606x = 277,176 × 277,176
  4. Step 4: Simplify right side
    129,606x = 76,826,534,976
  5. Step 5: Solve for x
    x = 76,826,534,976/129,606
  6. Step 6: Final answer
    x = 592,769.89

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.