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Finding the Third Proportional to 108,410 and 172,653

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Solution

The third proportional to 108,410 and 172,653 is: 274,965.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,410 : 172,653 = 172,653 : x
  2. Step 2: Convert to fraction form
    108,410/172,653 = 172,653/x
  3. Step 3: Cross multiply
    108,410x = 172,653 × 172,653
  4. Step 4: Simplify right side
    108,410x = 29,809,058,409
  5. Step 5: Solve for x
    x = 29,809,058,409/108,410
  6. Step 6: Final answer
    x = 274,965.95

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.