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Finding the Third Proportional to 124,833 and 202,809

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Solution

The third proportional to 124,833 and 202,809 is: 329,492.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,833 : 202,809 = 202,809 : x
  2. Step 2: Convert to fraction form
    124,833/202,809 = 202,809/x
  3. Step 3: Cross multiply
    124,833x = 202,809 × 202,809
  4. Step 4: Simplify right side
    124,833x = 41,131,490,481
  5. Step 5: Solve for x
    x = 41,131,490,481/124,833
  6. Step 6: Final answer
    x = 329,492.13

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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.