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Finding the Third Proportional to 124,904 and 202,422

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Solution

The third proportional to 124,904 and 202,422 is: 328,049.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,904 : 202,422 = 202,422 : x
  2. Step 2: Convert to fraction form
    124,904/202,422 = 202,422/x
  3. Step 3: Cross multiply
    124,904x = 202,422 × 202,422
  4. Step 4: Simplify right side
    124,904x = 40,974,666,084
  5. Step 5: Solve for x
    x = 40,974,666,084/124,904
  6. Step 6: Final answer
    x = 328,049.27

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Why These Related Problems?

These problems maintain the same ratio (1.62) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.