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Finding the Third Proportional to 135,814.50 and 177,457.50

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Solution

The third proportional to 135,814.50 and 177,457.50 is: 231,868.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    135,814.50 : 177,457.50 = 177,457.50 : x
  2. Step 2: Convert to fraction form
    135,814.50/177,457.50 = 177,457.50/x
  3. Step 3: Cross multiply
    135,814.50x = 177,457.50 × 177,457.50
  4. Step 4: Simplify right side
    135,814.50x = 31,491,164,306.25
  5. Step 5: Solve for x
    x = 31,491,164,306.25/135,814.50
  6. Step 6: Final answer
    x = 231,868.94

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These problems maintain the same ratio (1.31) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.