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Finding the Third Proportional to 108,259.50 and 170,064

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Solution

The third proportional to 108,259.50 and 170,064 is: 267,152.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,259.50 : 170,064 = 170,064 : x
  2. Step 2: Convert to fraction form
    108,259.50/170,064 = 170,064/x
  3. Step 3: Cross multiply
    108,259.50x = 170,064 × 170,064
  4. Step 4: Simplify right side
    108,259.50x = 28,921,764,096
  5. Step 5: Solve for x
    x = 28,921,764,096/108,259.50
  6. Step 6: Final answer
    x = 267,152.20

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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.