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Finding the Third Proportional to 108,292 and 165,318

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Solution

The third proportional to 108,292 and 165,318 is: 252,373.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,292 : 165,318 = 165,318 : x
  2. Step 2: Convert to fraction form
    108,292/165,318 = 165,318/x
  3. Step 3: Cross multiply
    108,292x = 165,318 × 165,318
  4. Step 4: Simplify right side
    108,292x = 27,330,041,124
  5. Step 5: Solve for x
    x = 27,330,041,124/108,292
  6. Step 6: Final answer
    x = 252,373.59

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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.