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Finding the Third Proportional to 57,459 and 85,842

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Solution

The third proportional to 57,459 and 85,842 is: 128,245.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    57,459 : 85,842 = 85,842 : x
  2. Step 2: Convert to fraction form
    57,459/85,842 = 85,842/x
  3. Step 3: Cross multiply
    57,459x = 85,842 × 85,842
  4. Step 4: Simplify right side
    57,459x = 7,368,848,964
  5. Step 5: Solve for x
    x = 7,368,848,964/57,459
  6. Step 6: Final answer
    x = 128,245.34

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.