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Finding the Third Proportional to 113,756 and 265,750

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Solution

The third proportional to 113,756 and 265,750 is: 620,829.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    113,756 : 265,750 = 265,750 : x
  2. Step 2: Convert to fraction form
    113,756/265,750 = 265,750/x
  3. Step 3: Cross multiply
    113,756x = 265,750 × 265,750
  4. Step 4: Simplify right side
    113,756x = 70,623,062,500
  5. Step 5: Solve for x
    x = 70,623,062,500/113,756
  6. Step 6: Final answer
    x = 620,829.34

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Why These Related Problems?

These problems maintain the same ratio (2.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.