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Finding the Third Proportional to 67,324 and 141,416

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Solution

The third proportional to 67,324 and 141,416 is: 297,048.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,324 : 141,416 = 141,416 : x
  2. Step 2: Convert to fraction form
    67,324/141,416 = 141,416/x
  3. Step 3: Cross multiply
    67,324x = 141,416 × 141,416
  4. Step 4: Simplify right side
    67,324x = 19,998,485,056
  5. Step 5: Solve for x
    x = 19,998,485,056/67,324
  6. Step 6: Final answer
    x = 297,048.38

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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.