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Finding the Third Proportional to 106,166 and 154,871

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Solution

The third proportional to 106,166 and 154,871 is: 225,920.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    106,166 : 154,871 = 154,871 : x
  2. Step 2: Convert to fraction form
    106,166/154,871 = 154,871/x
  3. Step 3: Cross multiply
    106,166x = 154,871 × 154,871
  4. Step 4: Simplify right side
    106,166x = 23,985,026,641
  5. Step 5: Solve for x
    x = 23,985,026,641/106,166
  6. Step 6: Final answer
    x = 225,920.04

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These problems maintain the same ratio (1.46) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.