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Finding the Third Proportional to 45,021 and 98,141

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Solution

The third proportional to 45,021 and 98,141 is: 213,936.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,021 : 98,141 = 98,141 : x
  2. Step 2: Convert to fraction form
    45,021/98,141 = 98,141/x
  3. Step 3: Cross multiply
    45,021x = 98,141 × 98,141
  4. Step 4: Simplify right side
    45,021x = 9,631,655,881
  5. Step 5: Solve for x
    x = 9,631,655,881/45,021
  6. Step 6: Final answer
    x = 213,936.96

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Why These Related Problems?

These problems maintain the same ratio (2.18) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.