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Finding the Third Proportional to 55,382.50 and 118,640

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Solution

The third proportional to 55,382.50 and 118,640 is: 254,149.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    55,382.50 : 118,640 = 118,640 : x
  2. Step 2: Convert to fraction form
    55,382.50/118,640 = 118,640/x
  3. Step 3: Cross multiply
    55,382.50x = 118,640 × 118,640
  4. Step 4: Simplify right side
    55,382.50x = 14,075,449,600
  5. Step 5: Solve for x
    x = 14,075,449,600/55,382.50
  6. Step 6: Final answer
    x = 254,149.77

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These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.