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Finding the Third Proportional to 61.03 and 101.53

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Solution

The third proportional to 61.03 and 101.53 is: 168.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    61.03 : 101.53 = 101.53 : x
  2. Step 2: Convert to fraction form
    61.03/101.53 = 101.53/x
  3. Step 3: Cross multiply
    61.03x = 101.53 × 101.53
  4. Step 4: Simplify right side
    61.03x = 10,308.59
  5. Step 5: Solve for x
    x = 10,308.59/61.03
  6. Step 6: Final answer
    x = 168.91

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These problems maintain the same ratio (1.66) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.