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Finding the Third Proportional to 137,065.50 and 215,064

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Solution

The third proportional to 137,065.50 and 215,064 is: 337,448.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    137,065.50 : 215,064 = 215,064 : x
  2. Step 2: Convert to fraction form
    137,065.50/215,064 = 215,064/x
  3. Step 3: Cross multiply
    137,065.50x = 215,064 × 215,064
  4. Step 4: Simplify right side
    137,065.50x = 46,252,524,096
  5. Step 5: Solve for x
    x = 46,252,524,096/137,065.50
  6. Step 6: Final answer
    x = 337,448.33

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These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.