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Finding the Third Proportional to 85,414 and 124,828

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Solution

The third proportional to 85,414 and 124,828 is: 182,429.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,414 : 124,828 = 124,828 : x
  2. Step 2: Convert to fraction form
    85,414/124,828 = 124,828/x
  3. Step 3: Cross multiply
    85,414x = 124,828 × 124,828
  4. Step 4: Simplify right side
    85,414x = 15,582,029,584
  5. Step 5: Solve for x
    x = 15,582,029,584/85,414
  6. Step 6: Final answer
    x = 182,429.46

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.