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Finding the Third Proportional to 67,954 and 144,656

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Solution

The third proportional to 67,954 and 144,656 is: 307,934.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    67,954 : 144,656 = 144,656 : x
  2. Step 2: Convert to fraction form
    67,954/144,656 = 144,656/x
  3. Step 3: Cross multiply
    67,954x = 144,656 × 144,656
  4. Step 4: Simplify right side
    67,954x = 20,925,358,336
  5. Step 5: Solve for x
    x = 20,925,358,336/67,954
  6. Step 6: Final answer
    x = 307,934.17

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Why These Related Problems?

These problems maintain the same ratio (2.13) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.