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Finding the Third Proportional to 100,143 and 155,958.75

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Solution

The third proportional to 100,143 and 155,958.75 is: 242,883.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    100,143 : 155,958.75 = 155,958.75 : x
  2. Step 2: Convert to fraction form
    100,143/155,958.75 = 155,958.75/x
  3. Step 3: Cross multiply
    100,143x = 155,958.75 × 155,958.75
  4. Step 4: Simplify right side
    100,143x = 24,323,131,701.56
  5. Step 5: Solve for x
    x = 24,323,131,701.56/100,143
  6. Step 6: Final answer
    x = 242,883.99

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Why These Related Problems?

These problems maintain the same ratio (1.56) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.