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Finding the Third Proportional to 108,730 and 166,324

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Solution

The third proportional to 108,730 and 166,324 is: 254,425.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,730 : 166,324 = 166,324 : x
  2. Step 2: Convert to fraction form
    108,730/166,324 = 166,324/x
  3. Step 3: Cross multiply
    108,730x = 166,324 × 166,324
  4. Step 4: Simplify right side
    108,730x = 27,663,672,976
  5. Step 5: Solve for x
    x = 27,663,672,976/108,730
  6. Step 6: Final answer
    x = 254,425.39

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.