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Finding the Third Proportional to 108,170 and 144,693

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Solution

The third proportional to 108,170 and 144,693 is: 193,547.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    108,170 : 144,693 = 144,693 : x
  2. Step 2: Convert to fraction form
    108,170/144,693 = 144,693/x
  3. Step 3: Cross multiply
    108,170x = 144,693 × 144,693
  4. Step 4: Simplify right side
    108,170x = 20,936,064,249
  5. Step 5: Solve for x
    x = 20,936,064,249/108,170
  6. Step 6: Final answer
    x = 193,547.79

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Why These Related Problems?

These problems maintain the same ratio (1.34) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.