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Finding the Third Proportional to 51,599 and 111,785

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Solution

The third proportional to 51,599 and 111,785 is: 242,173.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,599 : 111,785 = 111,785 : x
  2. Step 2: Convert to fraction form
    51,599/111,785 = 111,785/x
  3. Step 3: Cross multiply
    51,599x = 111,785 × 111,785
  4. Step 4: Simplify right side
    51,599x = 12,495,886,225
  5. Step 5: Solve for x
    x = 12,495,886,225/51,599
  6. Step 6: Final answer
    x = 242,173.03

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.