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Finding the Third Proportional to 62,466.19 and 137,370.94

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Solution

The third proportional to 62,466.19 and 137,370.94 is: 302,095.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,466.19 : 137,370.94 = 137,370.94 : x
  2. Step 2: Convert to fraction form
    62,466.19/137,370.94 = 137,370.94/x
  3. Step 3: Cross multiply
    62,466.19x = 137,370.94 × 137,370.94
  4. Step 4: Simplify right side
    62,466.19x = 18,870,774,469.63
  5. Step 5: Solve for x
    x = 18,870,774,469.63/62,466.19
  6. Step 6: Final answer
    x = 302,095.83

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.