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Finding the Third Proportional to 61,192 and 86,173

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Solution

The third proportional to 61,192 and 86,173 is: 121,352.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    61,192 : 86,173 = 86,173 : x
  2. Step 2: Convert to fraction form
    61,192/86,173 = 86,173/x
  3. Step 3: Cross multiply
    61,192x = 86,173 × 86,173
  4. Step 4: Simplify right side
    61,192x = 7,425,785,929
  5. Step 5: Solve for x
    x = 7,425,785,929/61,192
  6. Step 6: Final answer
    x = 121,352.23

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These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.