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Finding the Third Proportional to 108,346 and 173,015

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Solution

The third proportional to 108,346 and 173,015 is: 276,283.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,346 : 173,015 = 173,015 : x
  2. Step 2: Convert to fraction form
    108,346/173,015 = 173,015/x
  3. Step 3: Cross multiply
    108,346x = 173,015 × 173,015
  4. Step 4: Simplify right side
    108,346x = 29,934,190,225
  5. Step 5: Solve for x
    x = 29,934,190,225/108,346
  6. Step 6: Final answer
    x = 276,283.30

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Why These Related Problems?

These problems maintain the same ratio (1.60) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.