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Finding the Third Proportional to 108,256.50 and 170,059.50

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Solution

The third proportional to 108,256.50 and 170,059.50 is: 267,145.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,256.50 : 170,059.50 = 170,059.50 : x
  2. Step 2: Convert to fraction form
    108,256.50/170,059.50 = 170,059.50/x
  3. Step 3: Cross multiply
    108,256.50x = 170,059.50 × 170,059.50
  4. Step 4: Simplify right side
    108,256.50x = 28,920,233,540.25
  5. Step 5: Solve for x
    x = 28,920,233,540.25/108,256.50
  6. Step 6: Final answer
    x = 267,145.47

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