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Finding the Third Proportional to 71,541.75 and 155,385

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Solution

The third proportional to 71,541.75 and 155,385 is: 337,488.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    71,541.75 : 155,385 = 155,385 : x
  2. Step 2: Convert to fraction form
    71,541.75/155,385 = 155,385/x
  3. Step 3: Cross multiply
    71,541.75x = 155,385 × 155,385
  4. Step 4: Simplify right side
    71,541.75x = 24,144,498,225
  5. Step 5: Solve for x
    x = 24,144,498,225/71,541.75
  6. Step 6: Final answer
    x = 337,488.23

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Why These Related Problems?

These problems maintain the same ratio (2.17) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.