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Finding the Third Proportional to 129,864 and 269,712

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Solution

The third proportional to 129,864 and 269,712 is: 560,159.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,864 : 269,712 = 269,712 : x
  2. Step 2: Convert to fraction form
    129,864/269,712 = 269,712/x
  3. Step 3: Cross multiply
    129,864x = 269,712 × 269,712
  4. Step 4: Simplify right side
    129,864x = 72,744,562,944
  5. Step 5: Solve for x
    x = 72,744,562,944/129,864
  6. Step 6: Final answer
    x = 560,159.57

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.