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Finding the Third Proportional to 108,271 and 241,147

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Solution

The third proportional to 108,271 and 241,147 is: 537,095.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,271 : 241,147 = 241,147 : x
  2. Step 2: Convert to fraction form
    108,271/241,147 = 241,147/x
  3. Step 3: Cross multiply
    108,271x = 241,147 × 241,147
  4. Step 4: Simplify right side
    108,271x = 58,151,875,609
  5. Step 5: Solve for x
    x = 58,151,875,609/108,271
  6. Step 6: Final answer
    x = 537,095.58

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Why These Related Problems?

These problems maintain the same ratio (2.23) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.