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Finding the Third Proportional to 137,740.50 and 201,895.03

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Solution

The third proportional to 137,740.50 and 201,895.03 is: 295,930.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,740.50 : 201,895.03 = 201,895.03 : x
  2. Step 2: Convert to fraction form
    137,740.50/201,895.03 = 201,895.03/x
  3. Step 3: Cross multiply
    137,740.50x = 201,895.03 × 201,895.03
  4. Step 4: Simplify right side
    137,740.50x = 40,761,603,643.44
  5. Step 5: Solve for x
    x = 40,761,603,643.44/137,740.50
  6. Step 6: Final answer
    x = 295,930.42

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These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.