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Finding the Third Proportional to 124,865.25 and 202,869.75

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Solution

The third proportional to 124,865.25 and 202,869.75 is: 329,604.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,865.25 : 202,869.75 = 202,869.75 : x
  2. Step 2: Convert to fraction form
    124,865.25/202,869.75 = 202,869.75/x
  3. Step 3: Cross multiply
    124,865.25x = 202,869.75 × 202,869.75
  4. Step 4: Simplify right side
    124,865.25x = 41,156,135,465.06
  5. Step 5: Solve for x
    x = 41,156,135,465.06/124,865.25
  6. Step 6: Final answer
    x = 329,604.40

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