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Finding the Third Proportional to 45,553 and 99,881

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Solution

The third proportional to 45,553 and 99,881 is: 219,002.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,553 : 99,881 = 99,881 : x
  2. Step 2: Convert to fraction form
    45,553/99,881 = 99,881/x
  3. Step 3: Cross multiply
    45,553x = 99,881 × 99,881
  4. Step 4: Simplify right side
    45,553x = 9,976,214,161
  5. Step 5: Solve for x
    x = 9,976,214,161/45,553
  6. Step 6: Final answer
    x = 219,002.35

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.