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Finding the Third Proportional to 124,924 and 199,806

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Solution

The third proportional to 124,924 and 199,806 is: 319,573.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,924 : 199,806 = 199,806 : x
  2. Step 2: Convert to fraction form
    124,924/199,806 = 199,806/x
  3. Step 3: Cross multiply
    124,924x = 199,806 × 199,806
  4. Step 4: Simplify right side
    124,924x = 39,922,437,636
  5. Step 5: Solve for x
    x = 39,922,437,636/124,924
  6. Step 6: Final answer
    x = 319,573.80

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.