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Finding the Third Proportional to 49,258.50 and 106,773

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Solution

The third proportional to 49,258.50 and 106,773 is: 231,441.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,258.50 : 106,773 = 106,773 : x
  2. Step 2: Convert to fraction form
    49,258.50/106,773 = 106,773/x
  3. Step 3: Cross multiply
    49,258.50x = 106,773 × 106,773
  4. Step 4: Simplify right side
    49,258.50x = 11,400,473,529
  5. Step 5: Solve for x
    x = 11,400,473,529/49,258.50
  6. Step 6: Final answer
    x = 231,441.75

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These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.