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Finding the Third Proportional to 117,727.50 and 251,613.75

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Solution

The third proportional to 117,727.50 and 251,613.75 is: 537,762.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,727.50 : 251,613.75 = 251,613.75 : x
  2. Step 2: Convert to fraction form
    117,727.50/251,613.75 = 251,613.75/x
  3. Step 3: Cross multiply
    117,727.50x = 251,613.75 × 251,613.75
  4. Step 4: Simplify right side
    117,727.50x = 63,309,479,189.06
  5. Step 5: Solve for x
    x = 63,309,479,189.06/117,727.50
  6. Step 6: Final answer
    x = 537,762.88

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.