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Finding the Third Proportional to 54,933.19 and 118,265.06

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Solution

The third proportional to 54,933.19 and 118,265.06 is: 254,611.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,933.19 : 118,265.06 = 118,265.06 : x
  2. Step 2: Convert to fraction form
    54,933.19/118,265.06 = 118,265.06/x
  3. Step 3: Cross multiply
    54,933.19x = 118,265.06 × 118,265.06
  4. Step 4: Simplify right side
    54,933.19x = 13,986,625,008.13
  5. Step 5: Solve for x
    x = 13,986,625,008.13/54,933.19
  6. Step 6: Final answer
    x = 254,611.57

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Why These Related Problems?

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