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Finding the Third Proportional to 82,983 and 125,727

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Solution

The third proportional to 82,983 and 125,727 is: 190,488.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    82,983 : 125,727 = 125,727 : x
  2. Step 2: Convert to fraction form
    82,983/125,727 = 125,727/x
  3. Step 3: Cross multiply
    82,983x = 125,727 × 125,727
  4. Step 4: Simplify right side
    82,983x = 15,807,278,529
  5. Step 5: Solve for x
    x = 15,807,278,529/82,983
  6. Step 6: Final answer
    x = 190,488.15

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Why These Related Problems?

These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.