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Finding the Third Proportional to 108,924 and 166,590

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Solution

The third proportional to 108,924 and 166,590 is: 254,785.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,924 : 166,590 = 166,590 : x
  2. Step 2: Convert to fraction form
    108,924/166,590 = 166,590/x
  3. Step 3: Cross multiply
    108,924x = 166,590 × 166,590
  4. Step 4: Simplify right side
    108,924x = 27,752,228,100
  5. Step 5: Solve for x
    x = 27,752,228,100/108,924
  6. Step 6: Final answer
    x = 254,785.25

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.