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Finding the Third Proportional to 45,811 and 98,548

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Solution

The third proportional to 45,811 and 98,548 is: 211,995.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,811 : 98,548 = 98,548 : x
  2. Step 2: Convert to fraction form
    45,811/98,548 = 98,548/x
  3. Step 3: Cross multiply
    45,811x = 98,548 × 98,548
  4. Step 4: Simplify right side
    45,811x = 9,711,708,304
  5. Step 5: Solve for x
    x = 9,711,708,304/45,811
  6. Step 6: Final answer
    x = 211,995.12

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.