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Finding the Third Proportional to 110,136 and 159,004

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Solution

The third proportional to 110,136 and 159,004 is: 229,555.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    110,136 : 159,004 = 159,004 : x
  2. Step 2: Convert to fraction form
    110,136/159,004 = 159,004/x
  3. Step 3: Cross multiply
    110,136x = 159,004 × 159,004
  4. Step 4: Simplify right side
    110,136x = 25,282,272,016
  5. Step 5: Solve for x
    x = 25,282,272,016/110,136
  6. Step 6: Final answer
    x = 229,555.02

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These problems maintain the same ratio (1.44) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.