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Finding the Third Proportional to 67,320 and 141,740

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Solution

The third proportional to 67,320 and 141,740 is: 298,428.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,320 : 141,740 = 141,740 : x
  2. Step 2: Convert to fraction form
    67,320/141,740 = 141,740/x
  3. Step 3: Cross multiply
    67,320x = 141,740 × 141,740
  4. Step 4: Simplify right side
    67,320x = 20,090,227,600
  5. Step 5: Solve for x
    x = 20,090,227,600/67,320
  6. Step 6: Final answer
    x = 298,428.81

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Why These Related Problems?

These problems maintain the same ratio (2.11) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.