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Finding the Third Proportional to 75.09 and 157.57

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Solution

The third proportional to 75.09 and 157.57 is: 330.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.09 : 157.57 = 157.57 : x
  2. Step 2: Convert to fraction form
    75.09/157.57 = 157.57/x
  3. Step 3: Cross multiply
    75.09x = 157.57 × 157.57
  4. Step 4: Simplify right side
    75.09x = 24,828.40
  5. Step 5: Solve for x
    x = 24,828.40/75.09
  6. Step 6: Final answer
    x = 330.63

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.