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Finding the Third Proportional to 111,623.50 and 170,056

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Solution

The third proportional to 111,623.50 and 170,056 is: 259,076.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,623.50 : 170,056 = 170,056 : x
  2. Step 2: Convert to fraction form
    111,623.50/170,056 = 170,056/x
  3. Step 3: Cross multiply
    111,623.50x = 170,056 × 170,056
  4. Step 4: Simplify right side
    111,623.50x = 28,919,043,136
  5. Step 5: Solve for x
    x = 28,919,043,136/111,623.50
  6. Step 6: Final answer
    x = 259,076.66

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These problems maintain the same ratio (1.52) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.