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Finding the Third Proportional to 51,001.50 and 109,529.50

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Solution

The third proportional to 51,001.50 and 109,529.50 is: 235,222.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,001.50 : 109,529.50 = 109,529.50 : x
  2. Step 2: Convert to fraction form
    51,001.50/109,529.50 = 109,529.50/x
  3. Step 3: Cross multiply
    51,001.50x = 109,529.50 × 109,529.50
  4. Step 4: Simplify right side
    51,001.50x = 11,996,711,370.25
  5. Step 5: Solve for x
    x = 11,996,711,370.25/51,001.50
  6. Step 6: Final answer
    x = 235,222.72

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Why These Related Problems?

These problems maintain the same ratio (2.15) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.