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Finding the Third Proportional to 124,938 and 263,820

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Solution

The third proportional to 124,938 and 263,820 is: 557,084.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,938 : 263,820 = 263,820 : x
  2. Step 2: Convert to fraction form
    124,938/263,820 = 263,820/x
  3. Step 3: Cross multiply
    124,938x = 263,820 × 263,820
  4. Step 4: Simplify right side
    124,938x = 69,600,992,400
  5. Step 5: Solve for x
    x = 69,600,992,400/124,938
  6. Step 6: Final answer
    x = 557,084.25

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.