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Finding the Third Proportional to 59,551.50 and 127,740

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Solution

The third proportional to 59,551.50 and 127,740 is: 274,006.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    59,551.50 : 127,740 = 127,740 : x
  2. Step 2: Convert to fraction form
    59,551.50/127,740 = 127,740/x
  3. Step 3: Cross multiply
    59,551.50x = 127,740 × 127,740
  4. Step 4: Simplify right side
    59,551.50x = 16,317,507,600
  5. Step 5: Solve for x
    x = 16,317,507,600/59,551.50
  6. Step 6: Final answer
    x = 274,006.66

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These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.