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Finding the Third Proportional to 124,135 and 265,766

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Solution

The third proportional to 124,135 and 265,766 is: 568,989.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,135 : 265,766 = 265,766 : x
  2. Step 2: Convert to fraction form
    124,135/265,766 = 265,766/x
  3. Step 3: Cross multiply
    124,135x = 265,766 × 265,766
  4. Step 4: Simplify right side
    124,135x = 70,631,566,756
  5. Step 5: Solve for x
    x = 70,631,566,756/124,135
  6. Step 6: Final answer
    x = 568,989.94

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.