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Finding the Third Proportional to 65.13 and 89.19

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Solution

The third proportional to 65.13 and 89.19 is: 122.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    65.13 : 89.19 = 89.19 : x
  2. Step 2: Convert to fraction form
    65.13/89.19 = 89.19/x
  3. Step 3: Cross multiply
    65.13x = 89.19 × 89.19
  4. Step 4: Simplify right side
    65.13x = 7,954.41
  5. Step 5: Solve for x
    x = 7,954.41/65.13
  6. Step 6: Final answer
    x = 122.14

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Why These Related Problems?

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