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Finding the Third Proportional to 67,311 and 141,593.06

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Solution

The third proportional to 67,311 and 141,593.06 is: 297,850.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,311 : 141,593.06 = 141,593.06 : x
  2. Step 2: Convert to fraction form
    67,311/141,593.06 = 141,593.06/x
  3. Step 3: Cross multiply
    67,311x = 141,593.06 × 141,593.06
  4. Step 4: Simplify right side
    67,311x = 20,048,595,348.13
  5. Step 5: Solve for x
    x = 20,048,595,348.13/67,311
  6. Step 6: Final answer
    x = 297,850.21

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Why These Related Problems?

These problems maintain the same ratio (2.10) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.