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Finding the Third Proportional to 53,500.50 and 126,522

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Solution

The third proportional to 53,500.50 and 126,522 is: 299,208.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,500.50 : 126,522 = 126,522 : x
  2. Step 2: Convert to fraction form
    53,500.50/126,522 = 126,522/x
  3. Step 3: Cross multiply
    53,500.50x = 126,522 × 126,522
  4. Step 4: Simplify right side
    53,500.50x = 16,007,816,484
  5. Step 5: Solve for x
    x = 16,007,816,484/53,500.50
  6. Step 6: Final answer
    x = 299,208.73

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These problems maintain the same ratio (2.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.