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Finding the Third Proportional to 84,288 and 195,132

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Solution

The third proportional to 84,288 and 195,132 is: 451,742.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    84,288 : 195,132 = 195,132 : x
  2. Step 2: Convert to fraction form
    84,288/195,132 = 195,132/x
  3. Step 3: Cross multiply
    84,288x = 195,132 × 195,132
  4. Step 4: Simplify right side
    84,288x = 38,076,497,424
  5. Step 5: Solve for x
    x = 38,076,497,424/84,288
  6. Step 6: Final answer
    x = 451,742.80

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Why These Related Problems?

These problems maintain the same ratio (2.32) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.