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Finding the Third Proportional to 45,656 and 98,102

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Solution

The third proportional to 45,656 and 98,102 is: 210,793.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,656 : 98,102 = 98,102 : x
  2. Step 2: Convert to fraction form
    45,656/98,102 = 98,102/x
  3. Step 3: Cross multiply
    45,656x = 98,102 × 98,102
  4. Step 4: Simplify right side
    45,656x = 9,624,002,404
  5. Step 5: Solve for x
    x = 9,624,002,404/45,656
  6. Step 6: Final answer
    x = 210,793.81

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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.