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Finding the Third Proportional to 61,858.31 and 132,464.63

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Solution

The third proportional to 61,858.31 and 132,464.63 is: 283,662.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,858.31 : 132,464.63 = 132,464.63 : x
  2. Step 2: Convert to fraction form
    61,858.31/132,464.63 = 132,464.63/x
  3. Step 3: Cross multiply
    61,858.31x = 132,464.63 × 132,464.63
  4. Step 4: Simplify right side
    61,858.31x = 17,546,876,876.39
  5. Step 5: Solve for x
    x = 17,546,876,876.39/61,858.31
  6. Step 6: Final answer
    x = 283,662.39

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.