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Finding the Third Proportional to 106,988 and 165,574

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Solution

The third proportional to 106,988 and 165,574 is: 256,241.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,988 : 165,574 = 165,574 : x
  2. Step 2: Convert to fraction form
    106,988/165,574 = 165,574/x
  3. Step 3: Cross multiply
    106,988x = 165,574 × 165,574
  4. Step 4: Simplify right side
    106,988x = 27,414,749,476
  5. Step 5: Solve for x
    x = 27,414,749,476/106,988
  6. Step 6: Final answer
    x = 256,241.35

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These problems maintain the same ratio (1.55) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.