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Finding the Third Proportional to 48,618 and 71,192

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Solution

The third proportional to 48,618 and 71,192 is: 104,247.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,618 : 71,192 = 71,192 : x
  2. Step 2: Convert to fraction form
    48,618/71,192 = 71,192/x
  3. Step 3: Cross multiply
    48,618x = 71,192 × 71,192
  4. Step 4: Simplify right side
    48,618x = 5,068,300,864
  5. Step 5: Solve for x
    x = 5,068,300,864/48,618
  6. Step 6: Final answer
    x = 104,247.42

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.