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Finding the Third Proportional to 108.13 and 139.50

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Solution

The third proportional to 108.13 and 139.50 is: 179.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    108.13 : 139.50 = 139.50 : x
  2. Step 2: Convert to fraction form
    108.13/139.50 = 139.50/x
  3. Step 3: Cross multiply
    108.13x = 139.50 × 139.50
  4. Step 4: Simplify right side
    108.13x = 19,460.25
  5. Step 5: Solve for x
    x = 19,460.25/108.13
  6. Step 6: Final answer
    x = 179.98

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These problems maintain the same ratio (1.29) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.