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Finding the Third Proportional to 47,911.50 and 105,240

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Solution

The third proportional to 47,911.50 and 105,240 is: 231,164.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    47,911.50 : 105,240 = 105,240 : x
  2. Step 2: Convert to fraction form
    47,911.50/105,240 = 105,240/x
  3. Step 3: Cross multiply
    47,911.50x = 105,240 × 105,240
  4. Step 4: Simplify right side
    47,911.50x = 11,075,457,600
  5. Step 5: Solve for x
    x = 11,075,457,600/47,911.50
  6. Step 6: Final answer
    x = 231,164.91

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These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.