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Finding the Third Proportional to 49,356 and 107,021.25

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Solution

The third proportional to 49,356 and 107,021.25 is: 232,059.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,356 : 107,021.25 = 107,021.25 : x
  2. Step 2: Convert to fraction form
    49,356/107,021.25 = 107,021.25/x
  3. Step 3: Cross multiply
    49,356x = 107,021.25 × 107,021.25
  4. Step 4: Simplify right side
    49,356x = 11,453,547,951.56
  5. Step 5: Solve for x
    x = 11,453,547,951.56/49,356
  6. Step 6: Final answer
    x = 232,059.89

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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.