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Finding the Third Proportional to 111,046.50 and 158,265

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Solution

The third proportional to 111,046.50 and 158,265 is: 225,561.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,046.50 : 158,265 = 158,265 : x
  2. Step 2: Convert to fraction form
    111,046.50/158,265 = 158,265/x
  3. Step 3: Cross multiply
    111,046.50x = 158,265 × 158,265
  4. Step 4: Simplify right side
    111,046.50x = 25,047,810,225
  5. Step 5: Solve for x
    x = 25,047,810,225/111,046.50
  6. Step 6: Final answer
    x = 225,561.46

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These problems maintain the same ratio (1.43) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.