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Finding the Third Proportional to 111,108 and 158,773.50

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Solution

The third proportional to 111,108 and 158,773.50 is: 226,887.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,108 : 158,773.50 = 158,773.50 : x
  2. Step 2: Convert to fraction form
    111,108/158,773.50 = 158,773.50/x
  3. Step 3: Cross multiply
    111,108x = 158,773.50 × 158,773.50
  4. Step 4: Simplify right side
    111,108x = 25,209,024,302.25
  5. Step 5: Solve for x
    x = 25,209,024,302.25/111,108
  6. Step 6: Final answer
    x = 226,887.57

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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.