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Finding the Third Proportional to 124,207.17 and 196,993.27

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Solution

The third proportional to 124,207.17 and 196,993.27 is: 312,432.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,207.17 : 196,993.27 = 196,993.27 : x
  2. Step 2: Convert to fraction form
    124,207.17/196,993.27 = 196,993.27/x
  3. Step 3: Cross multiply
    124,207.17x = 196,993.27 × 196,993.27
  4. Step 4: Simplify right side
    124,207.17x = 38,806,346,701.60
  5. Step 5: Solve for x
    x = 38,806,346,701.60/124,207.17
  6. Step 6: Final answer
    x = 312,432.42

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Why These Related Problems?

These problems maintain the same ratio (1.59) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.