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Finding the Third Proportional to 93,676 and 138,031

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Solution

The third proportional to 93,676 and 138,031 is: 203,387.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    93,676 : 138,031 = 138,031 : x
  2. Step 2: Convert to fraction form
    93,676/138,031 = 138,031/x
  3. Step 3: Cross multiply
    93,676x = 138,031 × 138,031
  4. Step 4: Simplify right side
    93,676x = 19,052,556,961
  5. Step 5: Solve for x
    x = 19,052,556,961/93,676
  6. Step 6: Final answer
    x = 203,387.82

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.