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Finding the Third Proportional to 75,818 and 114,771

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Solution

The third proportional to 75,818 and 114,771 is: 173,736.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,818 : 114,771 = 114,771 : x
  2. Step 2: Convert to fraction form
    75,818/114,771 = 114,771/x
  3. Step 3: Cross multiply
    75,818x = 114,771 × 114,771
  4. Step 4: Simplify right side
    75,818x = 13,172,382,441
  5. Step 5: Solve for x
    x = 13,172,382,441/75,818
  6. Step 6: Final answer
    x = 173,736.88

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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.