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Finding the Third Proportional to 51,896.25 and 78,313.50

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Solution

The third proportional to 51,896.25 and 78,313.50 is: 118,178.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,896.25 : 78,313.50 = 78,313.50 : x
  2. Step 2: Convert to fraction form
    51,896.25/78,313.50 = 78,313.50/x
  3. Step 3: Cross multiply
    51,896.25x = 78,313.50 × 78,313.50
  4. Step 4: Simplify right side
    51,896.25x = 6,133,004,282.25
  5. Step 5: Solve for x
    x = 6,133,004,282.25/51,896.25
  6. Step 6: Final answer
    x = 118,178.18

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.