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Finding the Third Proportional to 48,955.50 and 106,740

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Solution

The third proportional to 48,955.50 and 106,740 is: 232,730.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,955.50 : 106,740 = 106,740 : x
  2. Step 2: Convert to fraction form
    48,955.50/106,740 = 106,740/x
  3. Step 3: Cross multiply
    48,955.50x = 106,740 × 106,740
  4. Step 4: Simplify right side
    48,955.50x = 11,393,427,600
  5. Step 5: Solve for x
    x = 11,393,427,600/48,955.50
  6. Step 6: Final answer
    x = 232,730.29

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These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.