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Finding the Third Proportional to 75.62 and 114.06

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Solution

The third proportional to 75.62 and 114.06 is: 172.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.62 : 114.06 = 114.06 : x
  2. Step 2: Convert to fraction form
    75.62/114.06 = 114.06/x
  3. Step 3: Cross multiply
    75.62x = 114.06 × 114.06
  4. Step 4: Simplify right side
    75.62x = 13,010.70
  5. Step 5: Solve for x
    x = 13,010.70/75.62
  6. Step 6: Final answer
    x = 172.05

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.