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Finding the Third Proportional to 112,077 and 241,146

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Solution

The third proportional to 112,077 and 241,146 is: 518,852.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,077 : 241,146 = 241,146 : x
  2. Step 2: Convert to fraction form
    112,077/241,146 = 241,146/x
  3. Step 3: Cross multiply
    112,077x = 241,146 × 241,146
  4. Step 4: Simplify right side
    112,077x = 58,151,393,316
  5. Step 5: Solve for x
    x = 58,151,393,316/112,077
  6. Step 6: Final answer
    x = 518,852.16

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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.