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Finding the Third Proportional to 51,032.75 and 110,828.75

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Solution

The third proportional to 51,032.75 and 110,828.75 is: 240,688.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,032.75 : 110,828.75 = 110,828.75 : x
  2. Step 2: Convert to fraction form
    51,032.75/110,828.75 = 110,828.75/x
  3. Step 3: Cross multiply
    51,032.75x = 110,828.75 × 110,828.75
  4. Step 4: Simplify right side
    51,032.75x = 12,283,011,826.56
  5. Step 5: Solve for x
    x = 12,283,011,826.56/51,032.75
  6. Step 6: Final answer
    x = 240,688.81

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.