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Finding the Third Proportional to 124,830 and 202,806

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Solution

The third proportional to 124,830 and 202,806 is: 329,490.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,830 : 202,806 = 202,806 : x
  2. Step 2: Convert to fraction form
    124,830/202,806 = 202,806/x
  3. Step 3: Cross multiply
    124,830x = 202,806 × 202,806
  4. Step 4: Simplify right side
    124,830x = 41,130,273,636
  5. Step 5: Solve for x
    x = 41,130,273,636/124,830
  6. Step 6: Final answer
    x = 329,490.30

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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.