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Finding the Third Proportional to 45,235 and 98,126

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Solution

The third proportional to 45,235 and 98,126 is: 212,859.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,235 : 98,126 = 98,126 : x
  2. Step 2: Convert to fraction form
    45,235/98,126 = 98,126/x
  3. Step 3: Cross multiply
    45,235x = 98,126 × 98,126
  4. Step 4: Simplify right side
    45,235x = 9,628,711,876
  5. Step 5: Solve for x
    x = 9,628,711,876/45,235
  6. Step 6: Final answer
    x = 212,859.77

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.