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Finding the Third Proportional to 74.53 and 98.81

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Solution

The third proportional to 74.53 and 98.81 is: 131.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    74.53 : 98.81 = 98.81 : x
  2. Step 2: Convert to fraction form
    74.53/98.81 = 98.81/x
  3. Step 3: Cross multiply
    74.53x = 98.81 × 98.81
  4. Step 4: Simplify right side
    74.53x = 9,763.91
  5. Step 5: Solve for x
    x = 9,763.91/74.53
  6. Step 6: Final answer
    x = 131.00

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Why These Related Problems?

These problems maintain the same ratio (1.33) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.