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Finding the Third Proportional to 76,202.02 and 113,200.03

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Solution

The third proportional to 76,202.02 and 113,200.03 is: 168,161.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,202.02 : 113,200.03 = 113,200.03 : x
  2. Step 2: Convert to fraction form
    76,202.02/113,200.03 = 113,200.03/x
  3. Step 3: Cross multiply
    76,202.02x = 113,200.03 × 113,200.03
  4. Step 4: Simplify right side
    76,202.02x = 12,814,247,075.00
  5. Step 5: Solve for x
    x = 12,814,247,075.00/76,202.02
  6. Step 6: Final answer
    x = 168,161.52

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.