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Finding the Third Proportional to 75,820 and 116,048

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Solution

The third proportional to 75,820 and 116,048 is: 177,619.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,820 : 116,048 = 116,048 : x
  2. Step 2: Convert to fraction form
    75,820/116,048 = 116,048/x
  3. Step 3: Cross multiply
    75,820x = 116,048 × 116,048
  4. Step 4: Simplify right side
    75,820x = 13,467,138,304
  5. Step 5: Solve for x
    x = 13,467,138,304/75,820
  6. Step 6: Final answer
    x = 177,619.87

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.