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Finding the Third Proportional to 42,162 and 93,250.50

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Solution

The third proportional to 42,162 and 93,250.50 is: 206,243.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,162 : 93,250.50 = 93,250.50 : x
  2. Step 2: Convert to fraction form
    42,162/93,250.50 = 93,250.50/x
  3. Step 3: Cross multiply
    42,162x = 93,250.50 × 93,250.50
  4. Step 4: Simplify right side
    42,162x = 8,695,655,750.25
  5. Step 5: Solve for x
    x = 8,695,655,750.25/42,162
  6. Step 6: Final answer
    x = 206,243.91

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Why These Related Problems?

These problems maintain the same ratio (2.21) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.