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Finding the Third Proportional to 108,056 and 168,645

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Solution

The third proportional to 108,056 and 168,645 is: 263,207.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,056 : 168,645 = 168,645 : x
  2. Step 2: Convert to fraction form
    108,056/168,645 = 168,645/x
  3. Step 3: Cross multiply
    108,056x = 168,645 × 168,645
  4. Step 4: Simplify right side
    108,056x = 28,441,136,025
  5. Step 5: Solve for x
    x = 28,441,136,025/108,056
  6. Step 6: Final answer
    x = 263,207.37

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.