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Finding the Third Proportional to 62,433 and 137,724.75

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Solution

The third proportional to 62,433 and 137,724.75 is: 303,815.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,433 : 137,724.75 = 137,724.75 : x
  2. Step 2: Convert to fraction form
    62,433/137,724.75 = 137,724.75/x
  3. Step 3: Cross multiply
    62,433x = 137,724.75 × 137,724.75
  4. Step 4: Simplify right side
    62,433x = 18,968,106,762.56
  5. Step 5: Solve for x
    x = 18,968,106,762.56/62,433
  6. Step 6: Final answer
    x = 303,815.40

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.