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Finding the Third Proportional to 54,259.50 and 118,320

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Solution

The third proportional to 54,259.50 and 118,320 is: 258,012.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,259.50 : 118,320 = 118,320 : x
  2. Step 2: Convert to fraction form
    54,259.50/118,320 = 118,320/x
  3. Step 3: Cross multiply
    54,259.50x = 118,320 × 118,320
  4. Step 4: Simplify right side
    54,259.50x = 13,999,622,400
  5. Step 5: Solve for x
    x = 13,999,622,400/54,259.50
  6. Step 6: Final answer
    x = 258,012.37

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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.