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Finding the Third Proportional to 79,346 and 171,754

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Solution

The third proportional to 79,346 and 171,754 is: 371,782.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    79,346 : 171,754 = 171,754 : x
  2. Step 2: Convert to fraction form
    79,346/171,754 = 171,754/x
  3. Step 3: Cross multiply
    79,346x = 171,754 × 171,754
  4. Step 4: Simplify right side
    79,346x = 29,499,436,516
  5. Step 5: Solve for x
    x = 29,499,436,516/79,346
  6. Step 6: Final answer
    x = 371,782.28

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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.