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Finding the Third Proportional to 62,477.44 and 137,113.31

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Solution

The third proportional to 62,477.44 and 137,113.31 is: 300,909.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,477.44 : 137,113.31 = 137,113.31 : x
  2. Step 2: Convert to fraction form
    62,477.44/137,113.31 = 137,113.31/x
  3. Step 3: Cross multiply
    62,477.44x = 137,113.31 × 137,113.31
  4. Step 4: Simplify right side
    62,477.44x = 18,800,060,464.72
  5. Step 5: Solve for x
    x = 18,800,060,464.72/62,477.44
  6. Step 6: Final answer
    x = 300,909.60

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These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.