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Finding the Third Proportional to 62,834.48 and 136,964.67

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Solution

The third proportional to 62,834.48 and 136,964.67 is: 298,551.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,834.48 : 136,964.67 = 136,964.67 : x
  2. Step 2: Convert to fraction form
    62,834.48/136,964.67 = 136,964.67/x
  3. Step 3: Cross multiply
    62,834.48x = 136,964.67 × 136,964.67
  4. Step 4: Simplify right side
    62,834.48x = 18,759,321,341.83
  5. Step 5: Solve for x
    x = 18,759,321,341.83/62,834.48
  6. Step 6: Final answer
    x = 298,551.37

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.