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Finding the Third Proportional to 39,148 and 84,372

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Solution

The third proportional to 39,148 and 84,372 is: 181,839.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,148 : 84,372 = 84,372 : x
  2. Step 2: Convert to fraction form
    39,148/84,372 = 84,372/x
  3. Step 3: Cross multiply
    39,148x = 84,372 × 84,372
  4. Step 4: Simplify right side
    39,148x = 7,118,634,384
  5. Step 5: Solve for x
    x = 7,118,634,384/39,148
  6. Step 6: Final answer
    x = 181,839.03

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.