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Finding the Third Proportional to 105,186 and 158,871

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Solution

The third proportional to 105,186 and 158,871 is: 239,955.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,186 : 158,871 = 158,871 : x
  2. Step 2: Convert to fraction form
    105,186/158,871 = 158,871/x
  3. Step 3: Cross multiply
    105,186x = 158,871 × 158,871
  4. Step 4: Simplify right side
    105,186x = 25,239,994,641
  5. Step 5: Solve for x
    x = 25,239,994,641/105,186
  6. Step 6: Final answer
    x = 239,955.84

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