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Finding the Third Proportional to 108,951 and 165,057

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Solution

The third proportional to 108,951 and 165,057 is: 250,055.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,951 : 165,057 = 165,057 : x
  2. Step 2: Convert to fraction form
    108,951/165,057 = 165,057/x
  3. Step 3: Cross multiply
    108,951x = 165,057 × 165,057
  4. Step 4: Simplify right side
    108,951x = 27,243,813,249
  5. Step 5: Solve for x
    x = 27,243,813,249/108,951
  6. Step 6: Final answer
    x = 250,055.65

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.