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Finding the Third Proportional to 67,230 and 141,345

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Solution

The third proportional to 67,230 and 141,345 is: 297,165.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,230 : 141,345 = 141,345 : x
  2. Step 2: Convert to fraction form
    67,230/141,345 = 141,345/x
  3. Step 3: Cross multiply
    67,230x = 141,345 × 141,345
  4. Step 4: Simplify right side
    67,230x = 19,978,409,025
  5. Step 5: Solve for x
    x = 19,978,409,025/67,230
  6. Step 6: Final answer
    x = 297,165.09

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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.