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Finding the Third Proportional to 129,588.56 and 202,847.63

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Solution

The third proportional to 129,588.56 and 202,847.63 is: 317,521.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    129,588.56 : 202,847.63 = 202,847.63 : x
  2. Step 2: Convert to fraction form
    129,588.56/202,847.63 = 202,847.63/x
  3. Step 3: Cross multiply
    129,588.56x = 202,847.63 × 202,847.63
  4. Step 4: Simplify right side
    129,588.56x = 41,147,158,968.14
  5. Step 5: Solve for x
    x = 41,147,158,968.14/129,588.56
  6. Step 6: Final answer
    x = 317,521.53

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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.