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Finding the Third Proportional to 59,535.84 and 91,200.09

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Solution

The third proportional to 59,535.84 and 91,200.09 is: 139,705.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,535.84 : 91,200.09 = 91,200.09 : x
  2. Step 2: Convert to fraction form
    59,535.84/91,200.09 = 91,200.09/x
  3. Step 3: Cross multiply
    59,535.84x = 91,200.09 × 91,200.09
  4. Step 4: Simplify right side
    59,535.84x = 8,317,457,100.01
  5. Step 5: Solve for x
    x = 8,317,457,100.01/59,535.84
  6. Step 6: Final answer
    x = 139,705.03

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These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.