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Finding the Third Proportional to 108,767 and 153,171

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Solution

The third proportional to 108,767 and 153,171 is: 215,702.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,767 : 153,171 = 153,171 : x
  2. Step 2: Convert to fraction form
    108,767/153,171 = 153,171/x
  3. Step 3: Cross multiply
    108,767x = 153,171 × 153,171
  4. Step 4: Simplify right side
    108,767x = 23,461,355,241
  5. Step 5: Solve for x
    x = 23,461,355,241/108,767
  6. Step 6: Final answer
    x = 215,702.88

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Why These Related Problems?

These problems maintain the same ratio (1.41) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.