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Finding the Third Proportional to 108,358 and 173,033

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Solution

The third proportional to 108,358 and 173,033 is: 276,310.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,358 : 173,033 = 173,033 : x
  2. Step 2: Convert to fraction form
    108,358/173,033 = 173,033/x
  3. Step 3: Cross multiply
    108,358x = 173,033 × 173,033
  4. Step 4: Simplify right side
    108,358x = 29,940,419,089
  5. Step 5: Solve for x
    x = 29,940,419,089/108,358
  6. Step 6: Final answer
    x = 276,310.19

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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.