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Finding the Third Proportional to 103,667.50 and 155,896

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Solution

The third proportional to 103,667.50 and 155,896 is: 234,437.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    103,667.50 : 155,896 = 155,896 : x
  2. Step 2: Convert to fraction form
    103,667.50/155,896 = 155,896/x
  3. Step 3: Cross multiply
    103,667.50x = 155,896 × 155,896
  4. Step 4: Simplify right side
    103,667.50x = 24,303,562,816
  5. Step 5: Solve for x
    x = 24,303,562,816/103,667.50
  6. Step 6: Final answer
    x = 234,437.63

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.