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Finding the Third Proportional to 51,013.50 and 110,224

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Solution

The third proportional to 51,013.50 and 110,224 is: 238,159.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,013.50 : 110,224 = 110,224 : x
  2. Step 2: Convert to fraction form
    51,013.50/110,224 = 110,224/x
  3. Step 3: Cross multiply
    51,013.50x = 110,224 × 110,224
  4. Step 4: Simplify right side
    51,013.50x = 12,149,330,176
  5. Step 5: Solve for x
    x = 12,149,330,176/51,013.50
  6. Step 6: Final answer
    x = 238,159.12

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.