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Finding the Third Proportional to 113,899 and 173,658

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Solution

The third proportional to 113,899 and 173,658 is: 264,770.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,899 : 173,658 = 173,658 : x
  2. Step 2: Convert to fraction form
    113,899/173,658 = 173,658/x
  3. Step 3: Cross multiply
    113,899x = 173,658 × 173,658
  4. Step 4: Simplify right side
    113,899x = 30,157,100,964
  5. Step 5: Solve for x
    x = 30,157,100,964/113,899
  6. Step 6: Final answer
    x = 264,770.55

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.