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Finding the Third Proportional to 108,612 and 164,477

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Solution

The third proportional to 108,612 and 164,477 is: 249,076.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,612 : 164,477 = 164,477 : x
  2. Step 2: Convert to fraction form
    108,612/164,477 = 164,477/x
  3. Step 3: Cross multiply
    108,612x = 164,477 × 164,477
  4. Step 4: Simplify right side
    108,612x = 27,052,683,529
  5. Step 5: Solve for x
    x = 27,052,683,529/108,612
  6. Step 6: Final answer
    x = 249,076.38

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.