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Finding the Third Proportional to 48,202.88 and 74,136.94

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Solution

The third proportional to 48,202.88 and 74,136.94 is: 114,024.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,202.88 : 74,136.94 = 74,136.94 : x
  2. Step 2: Convert to fraction form
    48,202.88/74,136.94 = 74,136.94/x
  3. Step 3: Cross multiply
    48,202.88x = 74,136.94 × 74,136.94
  4. Step 4: Simplify right side
    48,202.88x = 5,496,285,501.88
  5. Step 5: Solve for x
    x = 5,496,285,501.88/48,202.88
  6. Step 6: Final answer
    x = 114,024.02

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These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.