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Finding the Third Proportional to 68,320 and 144,066

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Solution

The third proportional to 68,320 and 144,066 is: 303,791.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    68,320 : 144,066 = 144,066 : x
  2. Step 2: Convert to fraction form
    68,320/144,066 = 144,066/x
  3. Step 3: Cross multiply
    68,320x = 144,066 × 144,066
  4. Step 4: Simplify right side
    68,320x = 20,755,012,356
  5. Step 5: Solve for x
    x = 20,755,012,356/68,320
  6. Step 6: Final answer
    x = 303,791.16

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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.