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Finding the Third Proportional to 51,045.19 and 76,620.94

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Solution

The third proportional to 51,045.19 and 76,620.94 is: 115,011.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,045.19 : 76,620.94 = 76,620.94 : x
  2. Step 2: Convert to fraction form
    51,045.19/76,620.94 = 76,620.94/x
  3. Step 3: Cross multiply
    51,045.19x = 76,620.94 × 76,620.94
  4. Step 4: Simplify right side
    51,045.19x = 5,870,768,063.38
  5. Step 5: Solve for x
    x = 5,870,768,063.38/51,045.19
  6. Step 6: Final answer
    x = 115,011.20

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.