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Finding the Third Proportional to 113,069.81 and 153,558.84

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Solution

The third proportional to 113,069.81 and 153,558.84 is: 208,546.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,069.81 : 153,558.84 = 153,558.84 : x
  2. Step 2: Convert to fraction form
    113,069.81/153,558.84 = 153,558.84/x
  3. Step 3: Cross multiply
    113,069.81x = 153,558.84 × 153,558.84
  4. Step 4: Simplify right side
    113,069.81x = 23,580,318,493.84
  5. Step 5: Solve for x
    x = 23,580,318,493.84/113,069.81
  6. Step 6: Final answer
    x = 208,546.54

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These problems maintain the same ratio (1.36) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.