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Finding the Third Proportional to 83,553 and 173,991

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Solution

The third proportional to 83,553 and 173,991 is: 362,319.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,553 : 173,991 = 173,991 : x
  2. Step 2: Convert to fraction form
    83,553/173,991 = 173,991/x
  3. Step 3: Cross multiply
    83,553x = 173,991 × 173,991
  4. Step 4: Simplify right side
    83,553x = 30,272,868,081
  5. Step 5: Solve for x
    x = 30,272,868,081/83,553
  6. Step 6: Final answer
    x = 362,319.34

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Why These Related Problems?

These problems maintain the same ratio (2.08) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.