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Finding the Third Proportional to 108,257 and 170,060.25

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Solution

The third proportional to 108,257 and 170,060.25 is: 267,146.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,257 : 170,060.25 = 170,060.25 : x
  2. Step 2: Convert to fraction form
    108,257/170,060.25 = 170,060.25/x
  3. Step 3: Cross multiply
    108,257x = 170,060.25 × 170,060.25
  4. Step 4: Simplify right side
    108,257x = 28,920,488,630.06
  5. Step 5: Solve for x
    x = 28,920,488,630.06/108,257
  6. Step 6: Final answer
    x = 267,146.59

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.