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Finding the Third Proportional to 81,104.63 and 173,417.63

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Solution

The third proportional to 81,104.63 and 173,417.63 is: 370,800.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    81,104.63 : 173,417.63 = 173,417.63 : x
  2. Step 2: Convert to fraction form
    81,104.63/173,417.63 = 173,417.63/x
  3. Step 3: Cross multiply
    81,104.63x = 173,417.63 × 173,417.63
  4. Step 4: Simplify right side
    81,104.63x = 30,073,672,660.64
  5. Step 5: Solve for x
    x = 30,073,672,660.64/81,104.63
  6. Step 6: Final answer
    x = 370,800.96

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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.