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Finding the Third Proportional to 83,463 and 125,937

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Solution

The third proportional to 83,463 and 125,937 is: 190,025.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    83,463 : 125,937 = 125,937 : x
  2. Step 2: Convert to fraction form
    83,463/125,937 = 125,937/x
  3. Step 3: Cross multiply
    83,463x = 125,937 × 125,937
  4. Step 4: Simplify right side
    83,463x = 15,860,127,969
  5. Step 5: Solve for x
    x = 15,860,127,969/83,463
  6. Step 6: Final answer
    x = 190,025.86

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.