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Finding the Third Proportional to 64.55 and 139.22

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Solution

The third proportional to 64.55 and 139.22 is: 300.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    64.55 : 139.22 = 139.22 : x
  2. Step 2: Convert to fraction form
    64.55/139.22 = 139.22/x
  3. Step 3: Cross multiply
    64.55x = 139.22 × 139.22
  4. Step 4: Simplify right side
    64.55x = 19,381.86
  5. Step 5: Solve for x
    x = 19,381.86/64.55
  6. Step 6: Final answer
    x = 300.28

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These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.