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Finding the Third Proportional to 100,426.87 and 155,599.50

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Solution

The third proportional to 100,426.87 and 155,599.50 is: 241,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,426.87 : 155,599.50 = 155,599.50 : x
  2. Step 2: Convert to fraction form
    100,426.87/155,599.50 = 155,599.50/x
  3. Step 3: Cross multiply
    100,426.87x = 155,599.50 × 155,599.50
  4. Step 4: Simplify right side
    100,426.87x = 24,211,203,488.54
  5. Step 5: Solve for x
    x = 24,211,203,488.54/100,426.87
  6. Step 6: Final answer
    x = 241,082.93

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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.