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Finding the Third Proportional to 112,051 and 241,094

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Solution

The third proportional to 112,051 and 241,094 is: 518,748.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,051 : 241,094 = 241,094 : x
  2. Step 2: Convert to fraction form
    112,051/241,094 = 241,094/x
  3. Step 3: Cross multiply
    112,051x = 241,094 × 241,094
  4. Step 4: Simplify right side
    112,051x = 58,126,316,836
  5. Step 5: Solve for x
    x = 58,126,316,836/112,051
  6. Step 6: Final answer
    x = 518,748.76

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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.