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Finding the Third Proportional to 108,052 and 170,960

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Solution

The third proportional to 108,052 and 170,960 is: 270,493.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,052 : 170,960 = 170,960 : x
  2. Step 2: Convert to fraction form
    108,052/170,960 = 170,960/x
  3. Step 3: Cross multiply
    108,052x = 170,960 × 170,960
  4. Step 4: Simplify right side
    108,052x = 29,227,321,600
  5. Step 5: Solve for x
    x = 29,227,321,600/108,052
  6. Step 6: Final answer
    x = 270,493.11

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Why These Related Problems?

These problems maintain the same ratio (1.58) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.