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Finding the Third Proportional to 85,894 and 128,446

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Solution

The third proportional to 85,894 and 128,446 is: 192,078.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,894 : 128,446 = 128,446 : x
  2. Step 2: Convert to fraction form
    85,894/128,446 = 128,446/x
  3. Step 3: Cross multiply
    85,894x = 128,446 × 128,446
  4. Step 4: Simplify right side
    85,894x = 16,498,374,916
  5. Step 5: Solve for x
    x = 16,498,374,916/85,894
  6. Step 6: Final answer
    x = 192,078.32

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.