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Finding the Third Proportional to 62,426.25 and 137,577.38

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Solution

The third proportional to 62,426.25 and 137,577.38 is: 303,198.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    62,426.25 : 137,577.38 = 137,577.38 : x
  2. Step 2: Convert to fraction form
    62,426.25/137,577.38 = 137,577.38/x
  3. Step 3: Cross multiply
    62,426.25x = 137,577.38 × 137,577.38
  4. Step 4: Simplify right side
    62,426.25x = 18,927,534,111.89
  5. Step 5: Solve for x
    x = 18,927,534,111.89/62,426.25
  6. Step 6: Final answer
    x = 303,198.32

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