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Finding the Third Proportional to 51,705 and 82,956.75

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Solution

The third proportional to 51,705 and 82,956.75 is: 133,097.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,705 : 82,956.75 = 82,956.75 : x
  2. Step 2: Convert to fraction form
    51,705/82,956.75 = 82,956.75/x
  3. Step 3: Cross multiply
    51,705x = 82,956.75 × 82,956.75
  4. Step 4: Simplify right side
    51,705x = 6,881,822,370.56
  5. Step 5: Solve for x
    x = 6,881,822,370.56/51,705
  6. Step 6: Final answer
    x = 133,097.81

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.