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Finding the Third Proportional to 52,954.50 and 109,581

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Solution

The third proportional to 52,954.50 and 109,581 is: 226,760.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    52,954.50 : 109,581 = 109,581 : x
  2. Step 2: Convert to fraction form
    52,954.50/109,581 = 109,581/x
  3. Step 3: Cross multiply
    52,954.50x = 109,581 × 109,581
  4. Step 4: Simplify right side
    52,954.50x = 12,007,995,561
  5. Step 5: Solve for x
    x = 12,007,995,561/52,954.50
  6. Step 6: Final answer
    x = 226,760.63

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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.