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Finding the Third Proportional to 48,177 and 116,046

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Solution

The third proportional to 48,177 and 116,046 is: 279,524.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    48,177 : 116,046 = 116,046 : x
  2. Step 2: Convert to fraction form
    48,177/116,046 = 116,046/x
  3. Step 3: Cross multiply
    48,177x = 116,046 × 116,046
  4. Step 4: Simplify right side
    48,177x = 13,466,674,116
  5. Step 5: Solve for x
    x = 13,466,674,116/48,177
  6. Step 6: Final answer
    x = 279,524.96

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Why These Related Problems?

These problems maintain the same ratio (2.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.