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Finding the Third Proportional to 116.10 and 170.03

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Solution

The third proportional to 116.10 and 170.03 is: 249.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    116.10 : 170.03 = 170.03 : x
  2. Step 2: Convert to fraction form
    116.10/170.03 = 170.03/x
  3. Step 3: Cross multiply
    116.10x = 170.03 × 170.03
  4. Step 4: Simplify right side
    116.10x = 28,909.80
  5. Step 5: Solve for x
    x = 28,909.80/116.10
  6. Step 6: Final answer
    x = 249.00

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.