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Finding the Third Proportional to 49,929.75 and 107,237.25

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Solution

The third proportional to 49,929.75 and 107,237.25 is: 230,320.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,929.75 : 107,237.25 = 107,237.25 : x
  2. Step 2: Convert to fraction form
    49,929.75/107,237.25 = 107,237.25/x
  3. Step 3: Cross multiply
    49,929.75x = 107,237.25 × 107,237.25
  4. Step 4: Simplify right side
    49,929.75x = 11,499,827,787.56
  5. Step 5: Solve for x
    x = 11,499,827,787.56/49,929.75
  6. Step 6: Final answer
    x = 230,320.16

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.