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Finding the Third Proportional to 86,441 and 127,672

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Solution

The third proportional to 86,441 and 127,672 is: 188,569.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    86,441 : 127,672 = 127,672 : x
  2. Step 2: Convert to fraction form
    86,441/127,672 = 127,672/x
  3. Step 3: Cross multiply
    86,441x = 127,672 × 127,672
  4. Step 4: Simplify right side
    86,441x = 16,300,139,584
  5. Step 5: Solve for x
    x = 16,300,139,584/86,441
  6. Step 6: Final answer
    x = 188,569.54

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These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.