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Finding the Third Proportional to 74.39 and 101.72

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Solution

The third proportional to 74.39 and 101.72 is: 139.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.39 : 101.72 = 101.72 : x
  2. Step 2: Convert to fraction form
    74.39/101.72 = 101.72/x
  3. Step 3: Cross multiply
    74.39x = 101.72 × 101.72
  4. Step 4: Simplify right side
    74.39x = 10,347.90
  5. Step 5: Solve for x
    x = 10,347.90/74.39
  6. Step 6: Final answer
    x = 139.10

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.