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Finding the Third Proportional to 49,867.50 and 117,336

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Solution

The third proportional to 49,867.50 and 117,336 is: 276,086.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,867.50 : 117,336 = 117,336 : x
  2. Step 2: Convert to fraction form
    49,867.50/117,336 = 117,336/x
  3. Step 3: Cross multiply
    49,867.50x = 117,336 × 117,336
  4. Step 4: Simplify right side
    49,867.50x = 13,767,736,896
  5. Step 5: Solve for x
    x = 13,767,736,896/49,867.50
  6. Step 6: Final answer
    x = 276,086.37

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These problems maintain the same ratio (2.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.