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Finding the Third Proportional to 49,425.19 and 116,624.81

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Solution

The third proportional to 49,425.19 and 116,624.81 is: 275,190.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,425.19 : 116,624.81 = 116,624.81 : x
  2. Step 2: Convert to fraction form
    49,425.19/116,624.81 = 116,624.81/x
  3. Step 3: Cross multiply
    49,425.19x = 116,624.81 × 116,624.81
  4. Step 4: Simplify right side
    49,425.19x = 13,601,346,890.66
  5. Step 5: Solve for x
    x = 13,601,346,890.66/49,425.19
  6. Step 6: Final answer
    x = 275,190.60

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Why These Related Problems?

These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.