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Finding the Third Proportional to 42,147 and 87,401.25

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Solution

The third proportional to 42,147 and 87,401.25 is: 181,246.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,147 : 87,401.25 = 87,401.25 : x
  2. Step 2: Convert to fraction form
    42,147/87,401.25 = 87,401.25/x
  3. Step 3: Cross multiply
    42,147x = 87,401.25 × 87,401.25
  4. Step 4: Simplify right side
    42,147x = 7,638,978,501.56
  5. Step 5: Solve for x
    x = 7,638,978,501.56/42,147
  6. Step 6: Final answer
    x = 181,246.08

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Why These Related Problems?

These problems maintain the same ratio (2.07) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.