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Finding the Third Proportional to 124,904 and 182,962

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Solution

The third proportional to 124,904 and 182,962 is: 268,006.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,904 : 182,962 = 182,962 : x
  2. Step 2: Convert to fraction form
    124,904/182,962 = 182,962/x
  3. Step 3: Cross multiply
    124,904x = 182,962 × 182,962
  4. Step 4: Simplify right side
    124,904x = 33,475,093,444
  5. Step 5: Solve for x
    x = 33,475,093,444/124,904
  6. Step 6: Final answer
    x = 268,006.58

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Why These Related Problems?

These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.