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Finding the Third Proportional to 78,518 and 170,419

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Solution

The third proportional to 78,518 and 170,419 is: 369,885.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,518 : 170,419 = 170,419 : x
  2. Step 2: Convert to fraction form
    78,518/170,419 = 170,419/x
  3. Step 3: Cross multiply
    78,518x = 170,419 × 170,419
  4. Step 4: Simplify right side
    78,518x = 29,042,635,561
  5. Step 5: Solve for x
    x = 29,042,635,561/78,518
  6. Step 6: Final answer
    x = 369,885.07

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.