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Finding the Third Proportional to 75.19 and 116.06

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Solution

The third proportional to 75.19 and 116.06 is: 179.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    75.19 : 116.06 = 116.06 : x
  2. Step 2: Convert to fraction form
    75.19/116.06 = 116.06/x
  3. Step 3: Cross multiply
    75.19x = 116.06 × 116.06
  4. Step 4: Simplify right side
    75.19x = 13,470.50
  5. Step 5: Solve for x
    x = 13,470.50/75.19
  6. Step 6: Final answer
    x = 179.16

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Why These Related Problems?

These problems maintain the same ratio (1.54) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.