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Finding the Third Proportional to 105,859 and 158,773

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Solution

The third proportional to 105,859 and 158,773 is: 238,136.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    105,859 : 158,773 = 158,773 : x
  2. Step 2: Convert to fraction form
    105,859/158,773 = 158,773/x
  3. Step 3: Cross multiply
    105,859x = 158,773 × 158,773
  4. Step 4: Simplify right side
    105,859x = 25,208,865,529
  5. Step 5: Solve for x
    x = 25,208,865,529/105,859
  6. Step 6: Final answer
    x = 238,136.25

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.