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Finding the Third Proportional to 49,756.50 and 105,129

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Solution

The third proportional to 49,756.50 and 105,129 is: 222,123.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    49,756.50 : 105,129 = 105,129 : x
  2. Step 2: Convert to fraction form
    49,756.50/105,129 = 105,129/x
  3. Step 3: Cross multiply
    49,756.50x = 105,129 × 105,129
  4. Step 4: Simplify right side
    49,756.50x = 11,052,106,641
  5. Step 5: Solve for x
    x = 11,052,106,641/49,756.50
  6. Step 6: Final answer
    x = 222,123.88

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These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.