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Finding the Third Proportional to 75,118 and 116,988

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Solution

The third proportional to 75,118 and 116,988 is: 182,195.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    75,118 : 116,988 = 116,988 : x
  2. Step 2: Convert to fraction form
    75,118/116,988 = 116,988/x
  3. Step 3: Cross multiply
    75,118x = 116,988 × 116,988
  4. Step 4: Simplify right side
    75,118x = 13,686,192,144
  5. Step 5: Solve for x
    x = 13,686,192,144/75,118
  6. Step 6: Final answer
    x = 182,195.91

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.