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Finding the Third Proportional to 53,548.25 and 117,606.63

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Solution

The third proportional to 53,548.25 and 117,606.63 is: 258,296.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    53,548.25 : 117,606.63 = 117,606.63 : x
  2. Step 2: Convert to fraction form
    53,548.25/117,606.63 = 117,606.63/x
  3. Step 3: Cross multiply
    53,548.25x = 117,606.63 × 117,606.63
  4. Step 4: Simplify right side
    53,548.25x = 13,831,318,243.89
  5. Step 5: Solve for x
    x = 13,831,318,243.89/53,548.25
  6. Step 6: Final answer
    x = 258,296.36

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.