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Finding the Third Proportional to 85,394 and 136,419

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Solution

The third proportional to 85,394 and 136,419 is: 217,932.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    85,394 : 136,419 = 136,419 : x
  2. Step 2: Convert to fraction form
    85,394/136,419 = 136,419/x
  3. Step 3: Cross multiply
    85,394x = 136,419 × 136,419
  4. Step 4: Simplify right side
    85,394x = 18,610,143,561
  5. Step 5: Solve for x
    x = 18,610,143,561/85,394
  6. Step 6: Final answer
    x = 217,932.68

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.