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Finding the Third Proportional to 108,402 and 170,274

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Solution

The third proportional to 108,402 and 170,274 is: 267,460.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,402 : 170,274 = 170,274 : x
  2. Step 2: Convert to fraction form
    108,402/170,274 = 170,274/x
  3. Step 3: Cross multiply
    108,402x = 170,274 × 170,274
  4. Step 4: Simplify right side
    108,402x = 28,993,235,076
  5. Step 5: Solve for x
    x = 28,993,235,076/108,402
  6. Step 6: Final answer
    x = 267,460.33

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Why These Related Problems?

These problems maintain the same ratio (1.57) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.