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Finding the Third Proportional to 76,896 and 170,492

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Solution

The third proportional to 76,896 and 170,492 is: 378,010.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    76,896 : 170,492 = 170,492 : x
  2. Step 2: Convert to fraction form
    76,896/170,492 = 170,492/x
  3. Step 3: Cross multiply
    76,896x = 170,492 × 170,492
  4. Step 4: Simplify right side
    76,896x = 29,067,522,064
  5. Step 5: Solve for x
    x = 29,067,522,064/76,896
  6. Step 6: Final answer
    x = 378,010.85

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Why These Related Problems?

These problems maintain the same ratio (2.22) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.