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Finding the Third Proportional to 71,131.50 and 155,385

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Solution

The third proportional to 71,131.50 and 155,385 is: 339,434.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,131.50 : 155,385 = 155,385 : x
  2. Step 2: Convert to fraction form
    71,131.50/155,385 = 155,385/x
  3. Step 3: Cross multiply
    71,131.50x = 155,385 × 155,385
  4. Step 4: Simplify right side
    71,131.50x = 24,144,498,225
  5. Step 5: Solve for x
    x = 24,144,498,225/71,131.50
  6. Step 6: Final answer
    x = 339,434.68

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.