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Finding the Third Proportional to 48,845 and 76,184

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Solution

The third proportional to 48,845 and 76,184 is: 118,824.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,845 : 76,184 = 76,184 : x
  2. Step 2: Convert to fraction form
    48,845/76,184 = 76,184/x
  3. Step 3: Cross multiply
    48,845x = 76,184 × 76,184
  4. Step 4: Simplify right side
    48,845x = 5,804,001,856
  5. Step 5: Solve for x
    x = 5,804,001,856/48,845
  6. Step 6: Final answer
    x = 118,824.89

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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.