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Finding the Third Proportional to 54,673.31 and 117,650.81

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Solution

The third proportional to 54,673.31 and 117,650.81 is: 253,171.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    54,673.31 : 117,650.81 = 117,650.81 : x
  2. Step 2: Convert to fraction form
    54,673.31/117,650.81 = 117,650.81/x
  3. Step 3: Cross multiply
    54,673.31x = 117,650.81 × 117,650.81
  4. Step 4: Simplify right side
    54,673.31x = 13,841,713,681.91
  5. Step 5: Solve for x
    x = 13,841,713,681.91/54,673.31
  6. Step 6: Final answer
    x = 253,171.30

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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.