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Finding the Third Proportional to 67,272 and 141,513

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Solution

The third proportional to 67,272 and 141,513 is: 297,685.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,272 : 141,513 = 141,513 : x
  2. Step 2: Convert to fraction form
    67,272/141,513 = 141,513/x
  3. Step 3: Cross multiply
    67,272x = 141,513 × 141,513
  4. Step 4: Simplify right side
    67,272x = 20,025,929,169
  5. Step 5: Solve for x
    x = 20,025,929,169/67,272
  6. Step 6: Final answer
    x = 297,685.95

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