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Finding the Third Proportional to 81,393 and 174,466.88

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Solution

The third proportional to 81,393 and 174,466.88 is: 373,971.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,393 : 174,466.88 = 174,466.88 : x
  2. Step 2: Convert to fraction form
    81,393/174,466.88 = 174,466.88/x
  3. Step 3: Cross multiply
    81,393x = 174,466.88 × 174,466.88
  4. Step 4: Simplify right side
    81,393x = 30,438,690,472.27
  5. Step 5: Solve for x
    x = 30,438,690,472.27/81,393
  6. Step 6: Final answer
    x = 373,971.85

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Why These Related Problems?

These problems maintain the same ratio (2.14) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.