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Finding the Third Proportional to 124,197.68 and 196,983.77

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Solution

The third proportional to 124,197.68 and 196,983.77 is: 312,426.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    124,197.68 : 196,983.77 = 196,983.77 : x
  2. Step 2: Convert to fraction form
    124,197.68/196,983.77 = 196,983.77/x
  3. Step 3: Cross multiply
    124,197.68x = 196,983.77 × 196,983.77
  4. Step 4: Simplify right side
    124,197.68x = 38,802,606,997.68
  5. Step 5: Solve for x
    x = 38,802,606,997.68/124,197.68
  6. Step 6: Final answer
    x = 312,426.18

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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.