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Finding the Third Proportional to 62,409.23 and 137,541.80

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Solution

The third proportional to 62,409.23 and 137,541.80 is: 303,124.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,409.23 : 137,541.80 = 137,541.80 : x
  2. Step 2: Convert to fraction form
    62,409.23/137,541.80 = 137,541.80/x
  3. Step 3: Cross multiply
    62,409.23x = 137,541.80 × 137,541.80
  4. Step 4: Simplify right side
    62,409.23x = 18,917,745,887.60
  5. Step 5: Solve for x
    x = 18,917,745,887.60/62,409.23
  6. Step 6: Final answer
    x = 303,124.15

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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.