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Finding the Third Proportional to 100,126.13 and 154,983.38

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Solution

The third proportional to 100,126.13 and 154,983.38 is: 239,895.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,126.13 : 154,983.38 = 154,983.38 : x
  2. Step 2: Convert to fraction form
    100,126.13/154,983.38 = 154,983.38/x
  3. Step 3: Cross multiply
    100,126.13x = 154,983.38 × 154,983.38
  4. Step 4: Simplify right side
    100,126.13x = 24,019,846,526.39
  5. Step 5: Solve for x
    x = 24,019,846,526.39/100,126.13
  6. Step 6: Final answer
    x = 239,895.90

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.