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Finding the Third Proportional to 57,533.63 and 119,061.38

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Solution

The third proportional to 57,533.63 and 119,061.38 is: 246,388.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,533.63 : 119,061.38 = 119,061.38 : x
  2. Step 2: Convert to fraction form
    57,533.63/119,061.38 = 119,061.38/x
  3. Step 3: Cross multiply
    57,533.63x = 119,061.38 × 119,061.38
  4. Step 4: Simplify right side
    57,533.63x = 14,175,611,016.89
  5. Step 5: Solve for x
    x = 14,175,611,016.89/57,533.63
  6. Step 6: Final answer
    x = 246,388.28

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These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.