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Finding the Third Proportional to 73,423.50 and 155,535

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Solution

The third proportional to 73,423.50 and 155,535 is: 329,474.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    73,423.50 : 155,535 = 155,535 : x
  2. Step 2: Convert to fraction form
    73,423.50/155,535 = 155,535/x
  3. Step 3: Cross multiply
    73,423.50x = 155,535 × 155,535
  4. Step 4: Simplify right side
    73,423.50x = 24,191,136,225
  5. Step 5: Solve for x
    x = 24,191,136,225/73,423.50
  6. Step 6: Final answer
    x = 329,474.03

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Why These Related Problems?

These problems maintain the same ratio (2.12) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.