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Finding the Third Proportional to 111,106.50 and 155,535

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Solution

The third proportional to 111,106.50 and 155,535 is: 217,729.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    111,106.50 : 155,535 = 155,535 : x
  2. Step 2: Convert to fraction form
    111,106.50/155,535 = 155,535/x
  3. Step 3: Cross multiply
    111,106.50x = 155,535 × 155,535
  4. Step 4: Simplify right side
    111,106.50x = 24,191,136,225
  5. Step 5: Solve for x
    x = 24,191,136,225/111,106.50
  6. Step 6: Final answer
    x = 217,729.26

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These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.