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Finding the Third Proportional to 51,775.13 and 111,705

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Solution

The third proportional to 51,775.13 and 111,705 is: 241,003.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,775.13 : 111,705 = 111,705 : x
  2. Step 2: Convert to fraction form
    51,775.13/111,705 = 111,705/x
  3. Step 3: Cross multiply
    51,775.13x = 111,705 × 111,705
  4. Step 4: Simplify right side
    51,775.13x = 12,478,007,025
  5. Step 5: Solve for x
    x = 12,478,007,025/51,775.13
  6. Step 6: Final answer
    x = 241,003.90

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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.