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Finding the Third Proportional to 102,252.75 and 218,721

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Solution

The third proportional to 102,252.75 and 218,721 is: 467,849.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    102,252.75 : 218,721 = 218,721 : x
  2. Step 2: Convert to fraction form
    102,252.75/218,721 = 218,721/x
  3. Step 3: Cross multiply
    102,252.75x = 218,721 × 218,721
  4. Step 4: Simplify right side
    102,252.75x = 47,838,875,841
  5. Step 5: Solve for x
    x = 47,838,875,841/102,252.75
  6. Step 6: Final answer
    x = 467,849.28

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.