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Finding the Third Proportional to 51,303.38 and 124,977.94

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Solution

The third proportional to 51,303.38 and 124,977.94 is: 304,453.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,303.38 : 124,977.94 = 124,977.94 : x
  2. Step 2: Convert to fraction form
    51,303.38/124,977.94 = 124,977.94/x
  3. Step 3: Cross multiply
    51,303.38x = 124,977.94 × 124,977.94
  4. Step 4: Simplify right side
    51,303.38x = 15,619,484,861.75
  5. Step 5: Solve for x
    x = 15,619,484,861.75/51,303.38
  6. Step 6: Final answer
    x = 304,453.36

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Why These Related Problems?

These problems maintain the same ratio (2.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.