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Finding the Third Proportional to 45,287 and 98,355

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Solution

The third proportional to 45,287 and 98,355 is: 213,608.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,287 : 98,355 = 98,355 : x
  2. Step 2: Convert to fraction form
    45,287/98,355 = 98,355/x
  3. Step 3: Cross multiply
    45,287x = 98,355 × 98,355
  4. Step 4: Simplify right side
    45,287x = 9,673,706,025
  5. Step 5: Solve for x
    x = 9,673,706,025/45,287
  6. Step 6: Final answer
    x = 213,608.89

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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.