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Finding the Third Proportional to 78,942 and 170,519

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Solution

The third proportional to 78,942 and 170,519 is: 368,330.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    78,942 : 170,519 = 170,519 : x
  2. Step 2: Convert to fraction form
    78,942/170,519 = 170,519/x
  3. Step 3: Cross multiply
    78,942x = 170,519 × 170,519
  4. Step 4: Simplify right side
    78,942x = 29,076,729,361
  5. Step 5: Solve for x
    x = 29,076,729,361/78,942
  6. Step 6: Final answer
    x = 368,330.29

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.