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Finding the Third Proportional to 42,153.75 and 93,234.38

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Solution

The third proportional to 42,153.75 and 93,234.38 is: 206,212.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,153.75 : 93,234.38 = 93,234.38 : x
  2. Step 2: Convert to fraction form
    42,153.75/93,234.38 = 93,234.38/x
  3. Step 3: Cross multiply
    42,153.75x = 93,234.38 × 93,234.38
  4. Step 4: Simplify right side
    42,153.75x = 8,692,648,681.64
  5. Step 5: Solve for x
    x = 8,692,648,681.64/42,153.75
  6. Step 6: Final answer
    x = 206,212.94

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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.