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Finding the Third Proportional to 45,441 and 93,143.25

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Solution

The third proportional to 45,441 and 93,143.25 is: 190,921.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    45,441 : 93,143.25 = 93,143.25 : x
  2. Step 2: Convert to fraction form
    45,441/93,143.25 = 93,143.25/x
  3. Step 3: Cross multiply
    45,441x = 93,143.25 × 93,143.25
  4. Step 4: Simplify right side
    45,441x = 8,675,665,020.56
  5. Step 5: Solve for x
    x = 8,675,665,020.56/45,441
  6. Step 6: Final answer
    x = 190,921.53

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Why These Related Problems?

These problems maintain the same ratio (2.05) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.