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Finding the Third Proportional to 126,999 and 186,709.50

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Solution

The third proportional to 126,999 and 186,709.50 is: 274,493.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    126,999 : 186,709.50 = 186,709.50 : x
  2. Step 2: Convert to fraction form
    126,999/186,709.50 = 186,709.50/x
  3. Step 3: Cross multiply
    126,999x = 186,709.50 × 186,709.50
  4. Step 4: Simplify right side
    126,999x = 34,860,437,390.25
  5. Step 5: Solve for x
    x = 34,860,437,390.25/126,999
  6. Step 6: Final answer
    x = 274,493.79

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.