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Finding the Third Proportional to 113,729 and 168,375

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Solution

The third proportional to 113,729 and 168,375 is: 249,278.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,729 : 168,375 = 168,375 : x
  2. Step 2: Convert to fraction form
    113,729/168,375 = 168,375/x
  3. Step 3: Cross multiply
    113,729x = 168,375 × 168,375
  4. Step 4: Simplify right side
    113,729x = 28,350,140,625
  5. Step 5: Solve for x
    x = 28,350,140,625/113,729
  6. Step 6: Final answer
    x = 249,278.03

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Why These Related Problems?

These problems maintain the same ratio (1.48) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.