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Finding the Third Proportional to 51,175 and 111,091

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Solution

The third proportional to 51,175 and 111,091 is: 241,157.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    51,175 : 111,091 = 111,091 : x
  2. Step 2: Convert to fraction form
    51,175/111,091 = 111,091/x
  3. Step 3: Cross multiply
    51,175x = 111,091 × 111,091
  4. Step 4: Simplify right side
    51,175x = 12,341,210,281
  5. Step 5: Solve for x
    x = 12,341,210,281/51,175
  6. Step 6: Final answer
    x = 241,157.02

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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.