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Finding the Third Proportional to 54,295.31 and 117,938.53

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Solution

The third proportional to 54,295.31 and 117,938.53 is: 256,182.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,295.31 : 117,938.53 = 117,938.53 : x
  2. Step 2: Convert to fraction form
    54,295.31/117,938.53 = 117,938.53/x
  3. Step 3: Cross multiply
    54,295.31x = 117,938.53 × 117,938.53
  4. Step 4: Simplify right side
    54,295.31x = 13,909,497,153.41
  5. Step 5: Solve for x
    x = 13,909,497,153.41/54,295.31
  6. Step 6: Final answer
    x = 256,182.28

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.