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Finding the Third Proportional to 85,394 and 128,366

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Solution

The third proportional to 85,394 and 128,366 is: 192,962.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,394 : 128,366 = 128,366 : x
  2. Step 2: Convert to fraction form
    85,394/128,366 = 128,366/x
  3. Step 3: Cross multiply
    85,394x = 128,366 × 128,366
  4. Step 4: Simplify right side
    85,394x = 16,477,829,956
  5. Step 5: Solve for x
    x = 16,477,829,956/85,394
  6. Step 6: Final answer
    x = 192,962.39

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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.