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Finding the Third Proportional to 106,871 and 166,774.25

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Solution

The third proportional to 106,871 and 166,774.25 is: 260,254.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,871 : 166,774.25 = 166,774.25 : x
  2. Step 2: Convert to fraction form
    106,871/166,774.25 = 166,774.25/x
  3. Step 3: Cross multiply
    106,871x = 166,774.25 × 166,774.25
  4. Step 4: Simplify right side
    106,871x = 27,813,650,463.06
  5. Step 5: Solve for x
    x = 27,813,650,463.06/106,871
  6. Step 6: Final answer
    x = 260,254.42

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.