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Finding the Third Proportional to 67,295 and 141,565

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Solution

The third proportional to 67,295 and 141,565 is: 297,802.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,295 : 141,565 = 141,565 : x
  2. Step 2: Convert to fraction form
    67,295/141,565 = 141,565/x
  3. Step 3: Cross multiply
    67,295x = 141,565 × 141,565
  4. Step 4: Simplify right side
    67,295x = 20,040,649,225
  5. Step 5: Solve for x
    x = 20,040,649,225/67,295
  6. Step 6: Final answer
    x = 297,802.95

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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.