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Finding the Third Proportional to 51,125.34 and 106,948.69

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Solution

The third proportional to 51,125.34 and 106,948.69 is: 223,725.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,125.34 : 106,948.69 = 106,948.69 : x
  2. Step 2: Convert to fraction form
    51,125.34/106,948.69 = 106,948.69/x
  3. Step 3: Cross multiply
    51,125.34x = 106,948.69 × 106,948.69
  4. Step 4: Simplify right side
    51,125.34x = 11,438,021,757.97
  5. Step 5: Solve for x
    x = 11,438,021,757.97/51,125.34
  6. Step 6: Final answer
    x = 223,725.08

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Why These Related Problems?

These problems maintain the same ratio (2.09) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.