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Finding the Third Proportional to 61,598.25 and 132,398.44

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Solution

The third proportional to 61,598.25 and 132,398.44 is: 284,575.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,598.25 : 132,398.44 = 132,398.44 : x
  2. Step 2: Convert to fraction form
    61,598.25/132,398.44 = 132,398.44/x
  3. Step 3: Cross multiply
    61,598.25x = 132,398.44 × 132,398.44
  4. Step 4: Simplify right side
    61,598.25x = 17,529,346,252.44
  5. Step 5: Solve for x
    x = 17,529,346,252.44/61,598.25
  6. Step 6: Final answer
    x = 284,575.39

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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.