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Finding the Third Proportional to 108,962 and 169,415

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Solution

The third proportional to 108,962 and 169,415 is: 263,407.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,962 : 169,415 = 169,415 : x
  2. Step 2: Convert to fraction form
    108,962/169,415 = 169,415/x
  3. Step 3: Cross multiply
    108,962x = 169,415 × 169,415
  4. Step 4: Simplify right side
    108,962x = 28,701,442,225
  5. Step 5: Solve for x
    x = 28,701,442,225/108,962
  6. Step 6: Final answer
    x = 263,407.81

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Why These Related Problems?

These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.